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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces irreducible maps; bilinear forms; vector fields on spheres; multiplicities of indecomposable summands; Artin algebras S. Brenner, M.C.R. Butler, A.D. King, Irreducible maps and bilinear forms, Linear Algebra Appl., this issue Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Representations of associative Artinian rings, Quadratic and bilinear forms, inner products, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Vector fields, frame fields in differential topology Irreducible maps and bilinear forms. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative projective geometry; noncommutative surfaces; Sklyanin algebras; noetherian graded rings; noncommutative blowing-up D. Rogalski, S. J. Sierra and J. T. Stafford, Classifying orders in the Sklyanin algebra, 2013.arXiv:1308.2213 Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Graded rings and modules (associative rings and algebras), Rings arising from noncommutative algebraic geometry, Elliptic curves, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) Classifying orders in the Sklyanin algebra | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces degenerations of fibered surfaces; surface of a general type; fibration; components of the singular fiber; rational surfaces; ruled surfaces; surfaces fibered over a curve Rational and ruled surfaces, Families, fibrations in algebraic geometry, Special algebraic curves and curves of low genus, Families, moduli, classification: algebraic theory On degenerations of fiber spaces of curves of genus \(\geqq 2\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Beauville form; Fujiki invariant; irreducible hyperkähler manifold; locally symmetric variety of orthogonal type; period domain; Torelli theorem; modular form; cusp form; Weyl group; Zagier L-function; Cohen number; Siegel's formula V. Gritsenko, K. Hulek and G.\ K. Sankaran, Moduli spaces of irreducible symplectic manifolds, Compos. Math. 146 (2010), no. 2, 404-434. Moduli, classification: analytic theory; relations with modular forms, Sums of squares and representations by other particular quadratic forms, Other groups and their modular and automorphic forms (several variables), \(4\)-folds, Compact Kähler manifolds: generalizations, classification, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry Moduli spaces of irreducible symplectic manifolds | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rationality of function fields; field of invariants; action of finite group; non ramified Brauer group; rationality problems; Noether problem D. J. Saltman, ''Multiplicative field invariants,''J. Algebra,106, 221--238 (1987). Brauer groups of schemes, Arithmetic theory of algebraic function fields, Rational and unirational varieties, Galois cohomology, Transcendental field extensions, Group actions on varieties or schemes (quotients), Geometric invariant theory, Separable extensions, Galois theory Multiplicative field invariants | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces graded skew Clifford algebras; noncommutative quadratic forms; rank; point modules Vancliff, M.; Veerapen, P. P., Point modules over regular graded skew Clifford algebras, Journal of Algebra, 420, 54-64, (2014) Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Quadratic and bilinear forms, inner products, Clifford algebras, spinors, Forms and linear algebraic groups, Ordinary and skew polynomial rings and semigroup rings Point modules over regular graded skew Clifford algebras. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces surfaces of type K3 over number fields; Mumford-Tate group; Mumford-Tate conjecture Tankeev, S. G., \textit{surfaces of type K3 over number fields and the Mumford-Tate conjecture}, Izv. Ross. Akad. Nauk Ser. Mat., 59, 179-206, (1995) \(K3\) surfaces and Enriques surfaces, Varieties over global fields, Arithmetic ground fields for abelian varieties Surfaces of type K3 over number fields and the Mumford-Tate conjecture. II | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces surfaces of general type; Catanese-Debarre surfaces; symmetric determinantal quartics; Fano sixfolds Families, moduli, classification: algebraic theory, Surfaces of general type, \(n\)-folds (\(n>4\)) Extending symmetric determinantal quartic surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces generalized polynomial identities; non-commutative algebraic geometry; solutions of polynomial equations; Free algebras; free fields; singularities of matrices; free ring; spectrum; non-commutative Nullstellensatz Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Division rings and semisimple Artin rings, Endomorphism rings; matrix rings, Rings with polynomial identity, Generalizations (algebraic spaces, stacks) Principles of non-commutative algebraic geometry | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces singular curves over finite fields; rationality of the zeta function; functional equation of the zeta function; singular Riemann-Roch theorem Galindo, W. Zúñiga: Zeta functions of singular algebraic curves over finite fields. (1996) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for curves, Curves over finite and local fields, Jacobians, Prym varieties, \(\zeta (s)\) and \(L(s, \chi)\), Riemann-Roch theorems Zeta functions of singular curves over finite fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces ruled irregular surfaces; conic bundles; ideal of a surface; Beilinson's spectral sequence; cohomology sheaf Abo, Hirotachi; Decker, Wolfram; Sasakura, Nobuo, An elliptic conic bundle in \(\mathbf{P}^4\) arising from a stable rank-\(3\) vector bundle, Math. Z., 229, 4, 725-741, (1998) Rational and ruled surfaces, Étale and other Grothendieck topologies and (co)homologies, Vector bundles on surfaces and higher-dimensional varieties, and their moduli An elliptic conic bundle in \(\mathbb{P}^4\) arising from a stable rank-3 vector bundle | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces height function; Mordell's conjecture; twisted Fermat curves; dual pairs of type II; symplectic form; unitary groups; irreducible dual reductive pairs; parabolic subgroups; non-ramified type I dual reductive pairs; irreducible admissible representations; Hecke algebras DOI: 10.1112/plms/s3-55.3.465 Arithmetic ground fields for curves, Rational points, Jacobians, Prym varieties, Global ground fields in algebraic geometry, Special algebraic curves and curves of low genus Rational points on certain families of curves of genus at least 2 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces tensors; symmetric tensors; rank of tensor; symmetric rank of symmetric tensor; border ranks; best \(k\)-approximation of tensors S. Friedland, \textit{Remarks on the symmetric rank of symmetric tensors}, SIAM J. Matrix Anal. Appl., 37 (2016), pp. 320--337, . Multilinear algebra, tensor calculus, Grassmannians, Schubert varieties, flag manifolds, Semialgebraic sets and related spaces, Uniqueness of best approximation, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Spaces of operators; tensor products; approximation properties Remarks on the symmetric rank of symmetric tensors | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces semisimplicity of pure sheaves; finite ground field; Frobenius automorphism; semisimplicity of the Galois representations of function fields Lei Fu, On the semisimplicity of pure sheaves, Proc. Amer. Math. Soc. 127 (1999), no. 9, 2529 -- 2533. Finite ground fields in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, Galois theory On the semisimplicity of pure sheaves | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces curves on torus surfaces; admissible divisor; multiplicity of the germ of the vector-function; reduced Weil number; total multiplicity of points; torus geometry; roots of a polynomial; Newton polygon Khovanskii, AG, Newton polygons, curves on torus surfaces, and the converse Weil theorem, Russ. Math. Surv., 52, 1251, (1997) Toric varieties, Newton polyhedra, Okounkov bodies, Polynomials in real and complex fields: location of zeros (algebraic theorems) Newton polygons, curves on torus surfaces, and the converse of Weil's theorem | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces reconstruction algebras; quivers with relations; noncommutative resolutions; CM-modules; surface singularities; Cohen-Macaulay singularities; labelled Dynkin diagrams; resolutions of singularities Wemyss, M., Reconstruction algebras of type \textit{D} (I), J. Algebra, 356, 158-194, (2012) Representations of quivers and partially ordered sets, Rings arising from noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Cohen-Macaulay modules, Syzygies, resolutions, complexes in associative algebras Reconstruction algebras of type \(D\). I. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces modular function fields; principal congruence subgroups of prime level; algorithm; Newton polygon N. Ishida, N. Ishii, The equations for modular function fields of principal congruence subgroups of prime level. Manuscripta Math. 90 (1996), no. 3, 271-285. Zbl0871.11031 MR1397657 Modular and automorphic functions, Algebraic functions and function fields in algebraic geometry The equations for modular function fields of principal congruence subgroups of prime level | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces admissible groups; division algebras; function fields; Hasse principle; inverse Galois problem; Sylow subgroups Surendranath Reddy, B.; Suresh, V., Admissibility of groups over function fields of \textit{p}-adic curves, Adv. Math., 237, 316-330, (2013) Finite-dimensional division rings, Inverse Galois theory, Skew fields, division rings, Arithmetic ground fields for curves, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure Admissibility of groups over function fields of \(p\)-adic curves. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative resolutions; quivers; dimer models; Calabi-Yau algebras; toric orders; weighted quiver polyhedra; orientable surfaces; cancellation algebras; Galois covers Bocklandt, R.: Calabi-Yau algebras and quiver polyhedra Representations of orders, lattices, algebras over commutative rings, Representations of quivers and partially ordered sets, Global theory and resolution of singularities (algebro-geometric aspects), Noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), String and superstring theories; other extended objects (e.g., branes) in quantum field theory Calabi-Yau algebras and weighted quiver polyhedra. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces matrices over ring; conditional expectation; Positivstellensätze; sums of squares; noncommutative associative algebras; algebras with involutions; Ore condition; diagonalization; quivers; path algebra; cyclic algebra; enveloping algebra of Lie algebra; path algebras; crossed product algebras; matrix polynomials; preordering; Lie algebras; Weyl algebras Savchuk, Y; Schmüdgen, K, Positivstellensätze for algebras of matrices, Linear Algebra Appl., 43, 758-788, (2012) Positive matrices and their generalizations; cones of matrices, Matrices over special rings (quaternions, finite fields, etc.), Real algebraic and real-analytic geometry, Representation theory of associative rings and algebras, Universal enveloping (super)algebras, Hermitian, skew-Hermitian, and related matrices Positivstellensätze for algebras of matrices | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces toroidal compactifications of a discrete ball quotient; cusps of a discrete ball quotient; ruled surfaces with elliptic base Compactifications; symmetric and spherical varieties, Almost homogeneous manifolds and spaces Lower bounds on the number of cusps of a toroidal compactification with a ruled minimal model | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces function fields; finite fields; towers of function fields; Artin-Schreier extensions of function fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Thue-Mahler equations, Finite ground fields in algebraic geometry A class of Artin-Schreier towers with finite genus | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Calogero phase spaces; coadjoint orbits; infinite dimensional Lie algebras; noncommutative symplectic geometry; varieties of representations; deformed preprojective algebras Bocklandt, R., Le Bruyn, L.: Necklace Lie algebras and noncommutative symplectic geometry. Math. Z. \textbf{240}, 141-167 (2002). arXiv:math/0010030 Representations of quivers and partially ordered sets, Infinite-dimensional Lie (super)algebras, Symplectic manifolds (general theory), Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry Necklace Lie algebras and noncommutative symplectic geometry. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces moduli spaces of curves; moduli spaces of \(K3\) surfaces; arithmetic quotients of bound symmetric domains Michela Artebani and Shigeyuki Kondō, The moduli of curves of genus six and \?3 surfaces, Trans. Amer. Math. Soc. 363 (2011), no. 3, 1445 -- 1462. \(K3\) surfaces and Enriques surfaces, Families, moduli of curves (algebraic), Families, moduli, classification: algebraic theory The moduli of curves of genus six and \(K3\) surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rational and ruled surfaces; symplectic manifolds; Lefschetz fibrations; pseudo-holomorphic curves; global topological methods (à la Gromov); deformations of analytic structures Siebert, Bernd; Tian, Gang, Lectures on pseudo-holomorphic curves and the symplectic isotopy problem.Symplectic 4-manifolds and algebraic surfaces, Lecture Notes in Math. 1938, 269-341, (2008), Springer, Berlin Fibrations, degenerations in algebraic geometry, Rational and ruled surfaces, Connected and locally connected spaces (general aspects), Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces, Pseudoholomorphic curves, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds Lectures on pseudo-holomorphic curves and the symplectic isotopy problem | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces recursive towers of function fields over finite fields; elliptic modular curves Algebraic functions and function fields in algebraic geometry, Finite ground fields in algebraic geometry, Modular and Shimura varieties, Compact Riemann surfaces and uniformization, Families, moduli of curves (analytic) Towers of function fields over finite fields corresponding to elliptic modular curves | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces fusion potentials; Fibonacci numbers; cohomology ring of the Grassmannian; Schur functions; symmetric function; Waring formula; Chebyshev polynomials; Lucas numbers N. Chair, The Waring formula and fusion rings, J. Geom. Phys. 37 (2001) 216--228. Symmetric functions and generalizations, Grassmannians, Schubert varieties, flag manifolds, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Fibonacci and Lucas numbers and polynomials and generalizations The Waring formula and fusion rings | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces second generalized Giulietti-Korchmáros function fields; maximal function fields; genus spectrum of maximal curves Curves over finite and local fields, Arithmetic ground fields for curves, Automorphisms of curves On subfields of the second generalization of the GK maximal function field | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces linear groups; real curves; projective curves; function fields; strong Hasse principle; homogeneous spaces; existence of \(K\)-rational points; weak approximation; density of local points; diagonal image; central isogeny; principal homogeneous spaces; projective algebraic varieties; reciprocity law; obstruction to the Hasse principle; obstruction to weak approximation; Galois cohomology Jean-Louis Colliot-Thélène, Groupes linéaires sur les corps de fonctions de courbes réelles, J. Reine Angew. Math. 474 (1996), 139 -- 167 (French). Galois cohomology of linear algebraic groups, Algebraic functions and function fields in algebraic geometry, Real algebraic and real-analytic geometry, Linear algebraic groups over adèles and other rings and schemes, Homogeneous spaces and generalizations Linear groups on the function fields of real curves | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Algebraic curves; algebraic function fields; automorphism groups of curves in positive characteristic; Stöhr-Voloch theory; curves with many points over finite fields Hirschfeld, J. W.P.; Korchmáros, G.; Torres, F., Algebraic Curves over a Finite Field, Princeton Series in Applied Mathematics, (2008), Princeton University Press: Princeton University Press Princeton, NJ, MR 2386879 Curves over finite and local fields, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Finite ground fields in algebraic geometry, Positive characteristic ground fields in algebraic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), Divisors, linear systems, invertible sheaves, Arithmetic ground fields for curves Algebraic curves over a finite field | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces essential dimension; essential \(2\)-dimension; central simple algebras; fields of definition; involutions; categories of field extensions; transcendence degrees; Brauer groups; cyclic algebras A. Vishik, \textit{Direct summands in the motives of quadrics}, preprint, 1999, available at http://www.maths.nott.ac.uk/personal/av/papers.html. Finite-dimensional division rings, Brauer groups (algebraic aspects), Group actions on varieties or schemes (quotients), Integral representations of finite groups, Linear algebraic groups over arbitrary fields, Galois cohomology of linear algebraic groups Essential dimension of simple algebras with involutions. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces categories of quasicoherent sheaves; categories of graded modules; noncommutative projective algebraic geometry; Koszul algebras; weighted projective spaces; Yoneda algebras; Auslander regular algebras; categories of torsionfree sheaves; Serre duality; almost split sequences Marti\´, R.; Villa, Nez: Serre duality for generalized Auslander regular algebras. Contemp. math. 229, 237-263 (1998) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Associative rings of functions, subdirect products, sheaves of rings, Quadratic and Koszul algebras, Graded rings and modules (associative rings and algebras), Module categories in associative algebras Serre duality for generalized Auslander regular algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces algebraic-geometric codes; lattices; towers of function fields; hypergeometric analogs; theta series identities Solé, P.: Towers of function fields and iterated means. IEEE trans. Inform. theory 46, 1532-1535 (2000) Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry Towers of function fields and iterated means | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Morse function; regular homotopy; real algebraic surface; eversion of the sphere; closed halfway model; immersions; Boy surfaces Apéry, F.: An algebraic halfway model for the eversion of the sphere. Tohoku Math. J. 44, 103--150 (1992) Immersions in differential topology, Surfaces and higher-dimensional varieties, Arithmetic problems in algebraic geometry; Diophantine geometry An algebraic halfway model for the eversion of the sphere (with an appendix by Bernard Morin) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces deforming algebras of functions; quantum groups; noncommutative spaces; categories of graded modules Vancliff M., Algebras and representation theory Graded rings and modules (associative rings and algebras), Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative algebraic geometry, Clifford algebras, spinors, Rings arising from noncommutative algebraic geometry, Quantum groups and related algebraic methods applied to problems in quantum theory Non-commutative spaces for graded quantum groups and graded Clifford algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces algebraic function fields; arithmetic theory of correspondences Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Arithmetische Theorie der Korrespondenzen algebraischer Funktionenkörper. I | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces function fields; derivatives of \(L\)-functions; moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; random matrix theory Other Dirichlet series and zeta functions, Arithmetic theory of algebraic function fields, Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Mean values of derivatives of \(L\)-functions in function fields. II. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces finite Hopf R-algebras; Azumaya algebras; rings of integers of number fields; Galois objects; smash products; Brauer group Childs, LN.: Representing classes in the Brauer group of quadratic number rings as smash products. Pacific J. Math. \textbf{129}(2), 243-255 (1987). http://projecteuclid.org/euclid.pjm/1102690574 Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Quaternion and other division algebras: arithmetic, zeta functions, Brauer groups of schemes, Finite rings and finite-dimensional associative algebras Representing classes in the Brauer group of quadratic number rings as smash products | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Galois group; inverse Galois theory; Mathieu groups; finite simple groups; embedding problems; rigidity method; Hilbertian fields; function fields; absolute Galois group; generating polynomials of Galois groups Research exposition (monographs, survey articles) pertaining to field theory, Inverse Galois theory, Separable extensions, Galois theory, Galois cohomology, Rigid analytic geometry Inverse Galois theory | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces global function fields; rational places; curves over finite fields; asymptotic measure of \(\mathbb{F}_q\)-rational points; class field towers; codes; Gilbert-Varshamov bound Niederreiter, H.; Xing, C., Towers of global function fields with asymptotically many rational places and an improvement on the Gilbert-varshamov bound, Math. Nachr., 195, 171-186, (1998) Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Algebraic coding theory; cryptography (number-theoretic aspects), Finite ground fields in algebraic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Bounds on codes Towers of global function fields with asymptotically many rational places and an improvement on the Gilbert-Varshamov bound | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces generators; algebra of polynomial invariants; \(m\)-tuples of matrices; actions; general linear groups; class functions; reductive groups; shifted trace functions; partial tilting modules; tensor products of exterior powers; symmetric functions S. Donkin, ''Invariants of Several Matrices,'' Invent. Math. 110, 389--401 (1992). Representation theory for linear algebraic groups, Combinatorial aspects of representation theory, Frobenius induction, Burnside and representation rings, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Geometric invariant theory Invariants of several matrices | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces central simple algebras; rational function fields; \(l\)-torsion ramification sequences; ramification indices; symbol algebras; division algebras Finite-dimensional division rings, Algebraic functions and function fields in algebraic geometry, Brauer groups (algebraic aspects) Division algebras of higher degree over rational function fields in one variable. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces number of rational points; cubic surfaces; Fano variety; height function Peter Swinnerton-Dyer, Counting rational points on cubic surfaces, Classification of algebraic varieties (L'Aquila, 1992) Contemp. Math., vol. 162, Amer. Math. Soc., Providence, RI, 1994, pp. 371 -- 379. Rational points, Enumerative problems (combinatorial problems) in algebraic geometry, Fano varieties Counting rational points on cubic surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces theory of invariants; algebras of invariants; algebras of symmetric polynomials; Cohen-Macaulay rings; Gorenstein rings; groups generated by pseudoreflections; polynomial algebras History of group theory, Ordinary representations and characters, History of mathematics in the 20th century, Actions of groups on commutative rings; invariant theory, Exact enumeration problems, generating functions, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Families, moduli of curves (algebraic), Vector and tensor algebra, theory of invariants, Reflection groups, reflection geometries Stanley's invariant theory survey. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces zeta function of several variables; simple Jordan algebra; prehomogeneous vector space; functional equations; zeta distributions; calculation of Fourier-Poisson integral; semi-simple symmetric space Blind, B.: Fonctions zeta à plusieurs variables associées aux algèbres de Jordan simples euclidiennes. C. R. Acad. sci. Paris 311, 215-217 (1990) Harmonic analysis on homogeneous spaces, Analytic theory (Epstein zeta functions; relations with automorphic forms and functions), Jordan algebras (algebras, triples and pairs), Homogeneous spaces and generalizations, Other Dirichlet series and zeta functions, Idempotents, Peirce decompositions, Homogeneous complex manifolds Distributions zêta à plusieurs variables associées aux algèbres de Jordan simples euclidiennes. (Zeta distributions in several variables associated with simple Euclidean Jordan algebras) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces function space description of neural networks; linear network; Toeplitz matrix; circulant matrix; algebraic statistics; Euclidean distance degree; semi-algebraic set; gradient flow; discriminant; critical point; tensor Semialgebraic sets and related spaces, Artificial neural networks and deep learning, Hypersurfaces and algebraic geometry, Polynomial optimization, Algebraic statistics Geometry of linear convolutional networks | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces moduli spaces of stable holomorphic bundles; linear system; ruled surface; Dolgachev surfaces DOI: 10.2307/2374705 Algebraic moduli problems, moduli of vector bundles, Families, moduli, classification: algebraic theory Moduli of vector bundles with odd \(c_ 1\) on surfaces with \(q=p_ g=0\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Ruled surfaces; Embedded degenerations; Hilbert schemes of scrolls; Moduli A. Calabri, C. Ciliberto, F. Flamini, R. Miranda, Degenerations of scrolls to unions of planes. \textit{AttiAccad. Naz. Lincei Rend. Lincei Mat. Appl}. 17 (2006), 95-123. MR2238370 Zbl 1136.14025 Rational and ruled surfaces, Fibrations, degenerations in algebraic geometry, Configurations and arrangements of linear subspaces, Vector bundles on curves and their moduli, Enumerative problems (combinatorial problems) in algebraic geometry Degenerations of scrolls to unions of planes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Drinfel'd twist; deformation quantization; noncommutative geometry; Hopf algebras, their representations; tangent, normal vector fields; first, second fundamental form Geometry and quantization, symplectic methods, Deformation quantization, star products, Noncommutative geometry in quantum theory, Hopf algebras and their applications, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Formal methods and deformations in algebraic geometry, Methods of noncommutative geometry in general relativity Twisted submanifolds of \(\mathbb{R}^n\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces cohomology of finite Chevalley groups; cohomology stability; connected split reductive group scheme; change of fields; algebra retract; elementary abelian \(\ell \)-subgroups; cohomology algebras; integral cohomology; cohomological restriction map Cohomology theory for linear algebraic groups, Linear algebraic groups over finite fields, Homology of classifying spaces and characteristic classes in algebraic topology, Group schemes, Cohomology of groups Erratum: Multiplicative stability for the cohomology of finite Chevalley groups | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces current algebra; fusion rings; rational conformal field theories; cohomology of homogeneous spaces; chiral fields; chiral algebras; computation of the discriminant of a polynomial D. Gepner. ''Fusion rings and geometry''. Comm. Math. Phys. 141 (1991), pp. 381--411.DOI. Applications of Lie (super)algebras to physics, etc., Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Model quantum field theories, Grassmannians, Schubert varieties, flag manifolds Fusion rings and geometry | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces geometric Goppa codes; generalized algebraic geometry codes; code automorphisms; automorphism groups of function fields; algebraic function fields Applications to coding theory and cryptography of arithmetic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Automorphisms of curves, Algebraic functions and function fields in algebraic geometry On the automorphisms of generalized algebraic geometry codes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces blow-up algebras; determinantal ideal; Gröbner basis; quadratic and Koszul algebra; Cohen-Macaulay algebra; liaison; vertex-decomposability; Hilbert function; Castelnuovo-Mumford regularity; Ferrers and threshold graphs; skew shapes; reductions Corso, A.; Nagel, U.; Petrović, S.; Yuen, C., Blow-up algebras, determinantal ideals, and Dedekind-mertens-like formulas, Forum Math., 29, 799-830, (2017) Linkage, complete intersections and determinantal ideals, Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Toric varieties, Newton polyhedra, Okounkov bodies, Quadratic and Koszul algebras, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties, Enumerative problems (combinatorial problems) in algebraic geometry, Combinatorial aspects of commutative algebra, Combinatorial aspects of simplicial complexes Blow-up algebras, determinantal ideals, and Dedekind-Mertens-like formulas | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Singularities; Complex analytic geometry; Proceedings; Symposium; Kyoto; RIMS; singularities in complex analytic geometry; complex affine root system; quartic surfaces of elliptic ruled type; bimeromorphic geometry of Gorenstein singularities; Torus embedding; cusp singularities; geometric genus; complex analytic foliation; Deligne, Gabber, Beilinson-Bernstein type theorem; singularities of nilpotent manifold; bifurcation set; Milnor number; quasi homogeneous polynomial; mapping singularities; Morse inequality Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces, Complex singularities, Local complex singularities, Proceedings of conferences of miscellaneous specific interest, Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties Singularities in complex analytic geometry. Proceedings of a Symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, June 30-July 3, 1982 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces elliptic curves; elliptic surfaces; function fields; rank; Mordell-Weil groups; Selmer groups; Galois representations Ellenberg, J.: Selmer groups and Mordell--Weil groups of elliptic curves over towers of function fields. Compos. Math. 142, 1215--1230 (2006) Varieties over global fields, Elliptic curves over global fields, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Iwasawa theory Selmer groups and Mordell-Weil groups of elliptic curves over towers of function fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces anisotropic quadratic forms; function fields of quadrics; Chow groups Karpenko, N., \textit{on the first Witt index of quadratic forms}, Invent. Math., 153, 455-462, (2003) Algebraic theory of quadratic forms; Witt groups and rings, Algebraic cycles, Quadratic forms over general fields On the first Witt index of quadratic forms | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces algebraic surfaces; Rational and ruled surfaces; compact Kähler manifolds; surfaces isogenous to a product; Lie groups of automorphisms; minimal and not minimal surfaces; cohomologically trivial; (cohomologically) rigidified; topologically trivial automorphisms; Enriques-Kodaira classification Automorphisms of surfaces and higher-dimensional varieties, Kähler manifolds, Negative curvature complex manifolds, Topological aspects of complex manifolds, Complex Lie groups, group actions on complex spaces, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Compact complex \(3\)-folds, Group actions on varieties or schemes (quotients), Special surfaces, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations On topologically trivial automorphisms of compact Kähler manifolds and algebraic surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative Hopf-Galois extensions; Hopf algebras; symmetric monoidal categories; noncommutative principal fibre bundles; differential graded vector spaces; differential graded algebras; differential graded algebra extensions Schauenburg, Galois type extensions of noncommutative algebras Rings of differential operators (associative algebraic aspects), Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative differential geometry Hopf-Galois extensions of graded algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative projective schemes; noncommutative graded algebras; projective spectrum; quasi-coherent sheaves; quotient category; cohomology of coherent sheaves; cohomological dimension M. Artin and J. J. Zhang, ''Noncommutative Projective Schemes,'' Adv. Math. 109 (2), 228--287 (1994). Noncommutative algebraic geometry Noncommutative projective schemes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces K3 surface over a finite field; Tate's conjecture on algebraic cycles; order of pole of zeta function; crystalline deformation theory; quasi-canonical varieties over p-adic fields; equicharacteristic deformations of abstract F-crystals Nygaard, Niels; Ogus, Arthur, Tate's conjecture for \(K3\) surfaces of finite height, Ann. of Math. (2), 0003-486X, 122, 3, 461-507, (1985) Cycles and subschemes, \(p\)-adic cohomology, crystalline cohomology, Special surfaces, Finite ground fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for surfaces or higher-dimensional varieties, Transcendental methods of algebraic geometry (complex-analytic aspects) Tate's conjecture for \(K3\) surfaces of finite height | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebra; minimal model program; threefold flopping contractions; simultaneous resolution of singularities; Kleinian singularities; contraction algebras Deformations of singularities, Minimal model program (Mori theory, extremal rays), Rings arising from noncommutative algebraic geometry The length classification of threefold flops via noncommutative algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces high tensor rank; symmetric tensor rank; zero-dimensional schemes; cactus varieties; projections of curves Secant varieties, tensor rank, varieties of sums of powers, Projective techniques in algebraic geometry, Vector and tensor algebra, theory of invariants Strict inclusions of high rank loci | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rational points over complex function fields; rationally connected manifolds; special manifolds; manifolds of general type Local theory in algebraic geometry, Rationality questions in algebraic geometry, Other nonalgebraically closed ground fields in algebraic geometry, Rationally connected varieties Rational points over complex function fields: remarks on isotriviality and dominatedness | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Brauer groups; curves over local fields; \(p\)-adic curves; field extensions; resolutions of singularities; algebraic function fields; curves over rings of integers of \(p\)-adic fields Saltman, D. J., Division algebras over \(p\)-adic curves, J. Ramanujan Math. Soc., 12, 25-47, (1997) Finite-dimensional division rings, Curves over finite and local fields, Arithmetic ground fields for curves, Brauer groups of schemes, Skew fields, division rings, Algebras and orders, and their zeta functions, Singularities of curves, local rings, Algebraic functions and function fields in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Local ground fields in algebraic geometry Division algebras over \(p\)-adic curves | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces absolute Galois groups; function fields of one variable; anabelian geometry F. Pop, ''On Grothendieck's conjecture of birational anabelian geometry,'' Ann. of Math., vol. 139, iss. 1, pp. 145-182, 1994. Algebraic functions and function fields in algebraic geometry, Galois theory, Global ground fields in algebraic geometry On Grothendieck's conjecture of birational anabelian geometry | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quadric; function field of a quadric; Chow group; algebraic cobordism; symmetric operation; Landweber-Novikov operation; rationality Vishik, A., Rationality of integral cycles, Doc. Math., 661-670, (2010), Extra Volume Suslin (Equivariant) Chow groups and rings; motives, Quadratic forms over general fields, Algebraic cycles, Higher symbols, Milnor \(K\)-theory, \(K\)-theory operations and generalized cohomology operations in algebraic topology Rationality of integral cycles | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Castelnuovo bound; dimension of a family of ruled surfaces; irregularity; ruled surfaces; curve in the grassmannian Eisenbud, D., Harris, J.: Curves in Projective Space. Sém. Math. Sup. \(85\) Les Presses de l'Université de Montréal (1982) Rational and ruled surfaces, Grassmannians, Schubert varieties, flag manifolds, Parametrization (Chow and Hilbert schemes) Bounding families of ruled surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces tower of function fields; finite field; Artin-Schreier extension A. Garciaand H. Stichtenoth. Some Artin-Schreier towers are easy. Mosc.Math. J., 5 (2005), 767--774. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Thue-Mahler equations, Finite ground fields in algebraic geometry Some Artin-Schreier towers are easy | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Tower of function fields; Genus; Rational places A. Garcia and H. Stichtenoth, Explicit towers of function fields over finite fields, In Topics in geometry, coding theory and cryptography , volume 6 of Algebr. Appl. , pages 1-58, Springer, Dordrecht, 2007. Arithmetic theory of algebraic function fields, Applications to coding theory and cryptography of arithmetic geometry, Cryptography Explicit towers of function fields over finite fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hilbert scheme of points; Nakajima operators; Ext-groups; Nekrasov instanton partition function; Jack symmetric functions E. Carlsson and A. Okounkov, \textit{Exts and Vertex Operators}, arXiv:0801.2565. Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) Exts and vertex operators | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces genus; towers of function fields; asymptotically bad towers Arithmetic theory of algebraic function fields, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry Asymptotically bad towers of function fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Towers of function fields; congruence function fields; genus; rational places; limits of towers; Zink's bound; cubic finite fields; Artin--Schreier extensions; Drinfeld--Vlăduţ bound; Hasse--Weil bound. Bezerra, J.; Garcia, A.; Stichtenoth, H.: An explicit tower of function fields over cubic finite fields and Zink's lower bound for \(A(q3)\). J. reine angew. Math. 589, 159-199 (2005) Arithmetic theory of algebraic function fields, Curves over finite and local fields, Modular and Shimura varieties, Rational points An explicit tower of function fields over cubic finite fields and Zink's lower bound | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces arithmetic over function fields; arithmetic of algebraic curves; Mordell Weil theorem; Mordell conjecture Rational points, Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Heights, Elliptic curves over global fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic theory of algebraic function fields, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry Diophantine geometry on curves over function fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces topology of real algebraic curves; Viro method; patchworking; rational ruled surfaces; pseudoholomorphic curves Topology of real algebraic varieties, Rational and ruled surfaces, Plane and space curves, Pseudoholomorphic curves A nonalgebraic patchwork | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Brauer groups; curves over local fields; field extensions; resolutions of singularities; algebraic function fields; curves over rings of integers of \(p\)-adic fields D. J. Saltman, ''Correction to: ``Division algebras over \(p\)-adic curves'' [J. Ramanujan Math. Soc. 12 (1997), no. 1, 25-47; MR1462850 (98d:16032)],'' J. Ramanujan Math. Soc., vol. 13, iss. 2, pp. 125-129, 1998. Finite-dimensional division rings, Curves over finite and local fields, Arithmetic ground fields for curves Correction to: Division algebras over \(p\)-adic curves | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces towers of function fields; Jacobian; rank of a Jacobian; endomorphisms of Jacobians; function field D. Ulmer and Y.G. Zarhin. Ranks of Jacobians in towers of function fields. Math. Res. Lett., 17:637--645, 2010. Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Automorphisms of curves, Arithmetic ground fields for abelian varieties, Global ground fields in algebraic geometry Ranks of Jacobians in towers of function fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces function fields; derivatives of \(L\)-functions; moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; random matrix theory Zeta functions and \(L\)-functions of function fields, Zeta and \(L\)-functions in characteristic \(p\), \(\zeta (s)\) and \(L(s, \chi)\), Curves over finite and local fields, Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Mean values of derivatives of \(L\)-functions in function fields. IV | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Bairstow's symmetric function; algebraic descent; arithmetic descent; diophantine equations; comparison of algebraic norms Diophantine equations, Curves in algebraic geometry Comparison of algebraic norms -- Addendum: Note on Bairstow's symmetric function | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Kazhdan-Lusztig polynomials; Schubert varieties; representations of semisimple Lie algebras; Weyl groups; symmetric groups; flag varieties; semisimple groups; torus actions \beginbarticle \bauthor\binitsS. C. \bsnmBilley and \bauthor\binitsT. \bsnmBraden, \batitleLower bounds for Kazhdan-Lusztig polynomials from patterns, \bjtitleTransform. Groups \bvolume8 (\byear2003), no. \bissue4, page 321-\blpage332. \endbarticle \OrigBibText Sara C. Billey and Tom Braden, Lower bounds for Kazhdan-Lusztig polynomials from patterns , Transform. Groups 8 (2003), no. 4, 321-332. \endOrigBibText \bptokstructpyb \endbibitem Reflection and Coxeter groups (group-theoretic aspects), Grassmannians, Schubert varieties, flag manifolds, Representation theory for linear algebraic groups Lower bounds for Kazhdan-Lusztig polynomials from patterns. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces finite-dimensional simple algebras; index changes under field extensions; function fields; homogeneous varieties; reductive algebraic groups Merkurjev, A.: Degree formula. Available at http://www.mathematik.uni-bielefeld.de/rost/degree-formula.html Finite-dimensional division rings, Linear algebraic groups over arbitrary fields, Homogeneous spaces and generalizations, Arithmetic theory of algebraic function fields Index reduction formula | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces elliptic curves over function fields; explicit computation of \(L\)-functions; BSD conjecture; unbounded ranks; explicit Jacobi sums Varieties over finite and local fields, Zeta and \(L\)-functions in characteristic \(p\), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Gauss and Kloosterman sums; generalizations A new family of elliptic curves with unbounded rank | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces complex reflection groups; Demazure operators; symmetric algebras; algebras of coinvariants Rampetas, K.; Shoji, T.: Length functions and Demazure operators for \(G(e,1,n)\) II, Indag. math. (N.S.) 9, No. 4, 581-594 (2015) Reflection and Coxeter groups (group-theoretic aspects), Actions of groups on commutative rings; invariant theory, Geometric invariant theory, Other geometric groups, including crystallographic groups Length functions and Demazure operators for \(G(e,1,n)\). II | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces finite fields; recursive towers of function fields; generating function of the Franel number Arithmetic theory of algebraic function fields, Curves over finite and local fields, Finite ground fields in algebraic geometry A proof of a conjecture by Lötter on the roots of a supersingular polynomial and its application | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces smooth projective varieties; flag varieties; Miyaoka's semipositivity theorem; cotangent bundle; rational surfaces; divisorial contractions; fibrations; crystalline differential operators; étale fundamental group; semistability; reflexives sheaves; semipositive sheaves; uniruled varieties; Riemann-Hilbert correspondence; stable Higgs bundle; Chern classes; flat connections; Artin's criterion of contractibility; Kodaira dimension; Hirzebruch surface; canonical divisor; surfaces of general type; Barlow's surfaces; del Pezzo surfaces; Fano three-folds Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Sheaves of differential operators and their modules, \(D\)-modules On smooth projective D-affine varieties | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Symmetries of surfaces Gromadzki G.: On Singerman symmetries of a class of Belyi Riemann surfaces. J. Pure Appl. Algebra 213, 1905--1910 (2009) Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences On Singerman symmetries of a class of Belyi Riemann surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces homological mirror symmetry; derived category; Del Pezzo surfaces; Landau-Ginzburg model; Lagrangian vanishing cycles; noncommutative deformations D. Auroux, L. Katzarkov, and D. Orlov, ''Mirror Symmetry for Del Pezzo Surfaces: Vanishing Cycles and Coherent Sheaves,'' Invent. Math. 166(3), 537--582 (2006); arXiv:math/0506166. Calabi-Yau manifolds (algebro-geometric aspects), Rational and ruled surfaces, Fano varieties, Families, fibrations in algebraic geometry Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces minimal complex surfaces of general type; generic vanishing theorems Hacon, CD; Pardini, R, Surfaces with \(pg = q = 3\), Trans. Am. Math. Soc., 354, 2631-2638, (2002) Surfaces of general type, Families, moduli, classification: algebraic theory Surfaces with \(p_g=q=3\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \(\mathcal{S}_5\)-covers; canonical resolution; surfaces of general type with positive indices; Galois closure curves; Galois points Global theory and resolution of singularities (algebro-geometric aspects), Coverings in algebraic geometry, Ramification problems in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Surfaces of general type Galois closure covers for 5-fold covers between smooth surfaces and its application | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces formal function along a subspace; implicit differentiation; formal power series; standard basis of a local ideal; resolution of singularities Edward Bierstone and Pierre D. Milman, Standard basis along a Samuel stratum, and implicit differentiation, The Arnoldfest (Toronto, ON, 1997) Fields Inst. Commun., vol. 24, Amer. Math. Soc., Providence, RI, 1999, pp. 81 -- 113. Formal neighborhoods in algebraic geometry, Local structure of morphisms in algebraic geometry: étale, flat, etc., Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects), Formal methods and deformations in algebraic geometry, Formal power series rings, Relevant commutative algebra Standard basis along a Samuel stratum, and implicit differentiation | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces forms over number fields; Hasse principle; affine variety; Hardy-Littlewood circle method; asymptotic formula; number of solutions; weak approximation C.\ M. Skinner, Forms over number fields and weak approximation, Compos. Math. 106 (1997), 11-29. Forms of degree higher than two, Applications of the Hardy-Littlewood method, Diophantine equations in many variables, Global ground fields in algebraic geometry, Varieties over global fields Forms over number fields and weak approximation | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces algebraic surfaces; affine-ruled surfaces; weighted projective planes; locally nilpotent derivations; additive group actions on affine \(3\)-space Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Rational and ruled surfaces, Group actions on affine varieties, Derivations and commutative rings Affine rulings of weighted projective planes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric Riemann surface; complex curve; groups of automorphisms G. Gromadzki. Symmetries of Riemann surfaces from a combinatorial point of view. London Mathematical Society Lecture Note Series, Cambridge University Press 287 (2001), 91--112. Automorphisms of curves, Riemann surfaces; Weierstrass points; gap sequences, Fuchsian groups and their generalizations (group-theoretic aspects), Compact Riemann surfaces and uniformization Symmetries of Riemann surfaces from a combinatorial point of view | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces loxodromes; surfaces of revolution Curves in Euclidean and related spaces, Surfaces in Euclidean and related spaces, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces, Plane and space curves, Computational aspects of algebraic surfaces Loxodromes on hypersurfaces of revolution | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces determinantal variety; skew-symmetric matrices; linear code; minimum distance Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry Linear codes associated to skew-symmetric determinantal varieties | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces surfaces of general type; infinitesimal Torelli theorem; mixed Hodge structure Transcendental methods, Hodge theory (algebro-geometric aspects), Special surfaces, Transcendental methods of algebraic geometry (complex-analytic aspects) Torelli problem for surfaces of general type | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces period map; set of isomorphy classes of Enriques surfaces; Nikulin lattice theory; existence of smooth rational curves Y. Namikawa, ''Periods of Enriques surfaces'',Math. Ann.,270, 201--222 (1985). Special surfaces, Transcendental methods of algebraic geometry (complex-analytic aspects), Period matrices, variation of Hodge structure; degenerations, Transcendental methods, Hodge theory (algebro-geometric aspects) Periods of Enriques surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces geometry of surfaces; tangential singularities; swallowtail; parabolic curve; flecnodal curve; cusp of Gauss; godron; wave front; Legendrian singularities R. Uribe-Vargas, ''A Projective Invariant for Swallowtails and Godrons, and Global Theorems on the Flecnodal Curve,'' Moscow Math. J. 6, 731--768 (2006). Catastrophe theory, Deformation of singularities, Singularities in algebraic geometry, Complex surface and hypersurface singularities, Projective differential geometry, Affine differential geometry, Surfaces in Euclidean and related spaces, Symplectic geometry, contact geometry, Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics A projective invariant for swallowtails and godrons, and global theorems on the flecnodal curve | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces modular curves; classification of Hilbert modular surfaces Bassendowski, D.: Klassifikation Hilbertscher Modulflächen zur symmetrischen Hurwitz-Maass-Erweiterung. Dissertation, Bonn, 1984 Special surfaces, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces Classification of Hilbert modular surfaces corresponding to the symmetric Hurwitz-Maaß-extension | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quadratic space; conic bundle surface; resolution of singularities; orders in quaternion algebras Singularities of surfaces or higher-dimensional varieties, General binary quadratic forms, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Polynomial rings and ideals; rings of integer-valued polynomials, Global theory and resolution of singularities (algebro-geometric aspects) Arithmetical quadratic surfaces of genus 0. II | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces analytic superspaces; GAGA; Chow's lemma; families of compact super Riemann surfaces Rabin, J. M.; Topiwala, P.: Super Riemann surfaces are algebraic curves. (1988) Supervarieties, Riemann surfaces; Weierstrass points; gap sequences, Algebraic dependence theorems, Riemann surfaces, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) The super GAGA principle and families of super Riemann surfaces | 0 |
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