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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 \(k\)-configuration; Hilbert function; Gorenstein ideals of codimension three; vanishing ideals Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Projective techniques in algebraic geometry, Relevant commutative algebra, Enumerative problems (combinatorial problems) in algebraic geometry, Linkage Exposé I B: Remarks on \(k\)-configurations in \(\mathbb{P}^ 2\) | 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 simple integrable modules; double affine Hecke algebras; perverse sheaves; linear algebraic groups; Lie algebras; Cartan subalgebras; Borel subalgebras; root systems; affine Weyl groups; simple reflections; pairings; equivariant \(K\)-theory; Jordan-Hölder multiplicities of induced modules Vasserot, Eric, Induced and simple modules of double affine Hecke algebras, Duke Math. J., 126, 2, 251-323, (2005) Hecke algebras and their representations, Grassmannians, Schubert varieties, flag manifolds, Lie algebras of linear algebraic groups, Grothendieck groups, \(K\)-theory, etc., Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras Induced and simple modules of double affine Hecke 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 schemes; coherent sheaves; cohomology of schemes; duality theory; algebraic curves; birational geometry of surfaces; arithmetic algebraic curves; arithmetic algebraic surfaces; stable reduction of curves; arithmetic algebraic geometry; birational geometry of algebraic surfaces Q. Liu, \(Algebraic Geometry and Arithmetic Curves\) (Oxford University Press, Oxford, 2006) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Schemes and morphisms, Arithmetic varieties and schemes; Arakelov theory; heights, Birational geometry Algebraic geometry and arithmetic curves. Transl. by Reinie Erné | 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 space of Riemann surfaces; Calabi-Yau elliptic space; Frobenius algebra; heat kernel; ultra-violet divergence; topological conformal field theory; modular operad; orbi-cell complex; open topological field theory; Deligne-Mumford compactification Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Fine and coarse moduli spaces, Algebraic topology of manifolds, Feynman integrals and graphs; applications of algebraic topology and algebraic geometry On the extension of a TCFT to the boundary of the moduli space | 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 nonisolated singularities; non-degenerate singularities; topological zeta functions; monodromy conjecture; toric varieties; Newton polytopes; non-convenient Newton polyhedra; eigenvalues of monodromy; corners; hypermodular function; lattice geometry Toric varieties, Newton polyhedra, Okounkov bodies, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects) On the monodromy conjecture for non-degenerate hypersurfaces | 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 action of a group on a surface; Belyĭ function; dessin; hypermap; map; map covering; orbifold Breda d'Azevedo, A; Catalano, DA; Karabáš, J; Nedela, R, Maps of Archimedean class and operations on dessins, Discret. Math., 338, 1814-1825, (2015) Group actions on combinatorial structures, Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences Maps of Archimedean class and operations on dessins | 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 real algebraic geometry; sums of squares; special curves; surfaces of minimal degree Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Special algebraic curves and curves of low genus Sharp degree bounds for sum-of-squares certificates on projective 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 few rational points of Shimura curve; imaginary quadratic number field; quaternionic multiplication; QM-abelian surfaces; potential good reduction B. Jordan,Points on Shimura curves rational over number fields, Journal für die reine und angewandte Mathematik371 (1986), 92--114. Arithmetic ground fields for curves, Rational points, Quadratic extensions, Special algebraic curves and curves of low genus Points on Shimura curves rational over number 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 Teichmüller theory; Teichmüller space; Teichmüller metric; Strebel differentials; hyperbolic spaces; analytic moduli of Riemann surfaces; Deligne-Mumford compactification; geodesic flows Masur, H.: Geometry of Teichmüller space with the Teichmüller metric. In: Surveys in differential geometry, vol. 14. Geometry of Riemann surfaces and their moduli spaces, volume 14 of Surv. Differ. Geom., pp. 295-313. Int. Press, Somerville (2009) Families, moduli of curves (analytic), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Teichmüller theory for Riemann surfaces, Compactification of analytic spaces, Foliations in differential topology; geometric theory Geometry of Teichmüller space with the Teichmüller metric | 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 free profinite groups; quasi-free profinite groups; semi-free profinite groups; absolute Galois groups; Laurent series fields; function fields; embedding problems L. Bary-Soroker, D. Haran and D. Harbater, Permanence criteria for semi-free profinite groups, Mathematische Annalen 348 (2010), 539--563. Limits, profinite groups, Separable extensions, Galois theory, Field arithmetic, Coverings of curves, fundamental group, Inverse Galois theory Permanence criteria for semi-free profinite 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 instructional exposition; textbooks; group theory; field theory and polynomials; commutative rings and algebras; noncommutative rings; algebraic geometry; homological algebra Ash, R. B., Basic abstract algebra. for graduate students and advanced undergraduates, (2007), Dover Publications, Inc. Mineola, NY Mathematics in general, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to associative rings and algebras, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to category theory Basic abstract algebra. For graduate students and advanced undergraduates | 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; natural isomorphisms; smooth surfaces; automorphisms Parametrization (Chow and Hilbert schemes), Automorphisms of surfaces and higher-dimensional varieties Automorphisms of Hilbert schemes of points on 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 factorization of canonical morphism between two normal Gorenstein surfaces; blowing up F. Sakai, Normal Gorenstein surfaces and blowing ups, Saitama Math. J.1 (1983), 29--35. Rational and birational maps, Global theory and resolution of singularities (algebro-geometric aspects), Special surfaces Normal Gorenstein surfaces and blowing ups | 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 matrix invariants; representations of quivers; semi-invariants of quivers; algebras of semi-invariants; fibre bundles; bipartite quivers Mátyás Domokos and, A. N. zubkov. semi-invariants of quivers as determinants, Transformation Groups, 6, 9-24, (2001) Trace rings and invariant theory (associative rings and algebras), Representations of quivers and partially ordered sets, Geometric invariant theory, Vector and tensor algebra, theory of invariants, Actions of groups and semigroups; invariant theory (associative rings and algebras), Representation theory for linear algebraic groups Semi-invariants of quivers as determinants | 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 geometry; first-order logic; algebraic sets; algebraic logic; Halmos categories; variety of algebras B. Plotkin and E. Plotkin, Multi-sorted logic and logical geomeytry: Some problems, \textit{Demonstratio Mathematica}, \textbf{XLVII}(4) (2015) 578-618; \textit{J. Math. Sci.}\textbf{137}(5) (2006) 5049-5097. Algebraic logic, Classical first-order logic, Varieties, Foundations of algebraic geometry, Knowledge representation Algebraic geometry in first-order logic | 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 dimension; rings of global sections; sheaves of twisted differential operators; spectral sequence; flag varieties; enveloping algebras of semisimple Lie algebras; Weyl group DOI: 10.1112/blms/24.2.148 Rings of differential operators (associative algebraic aspects), Universal enveloping (super)algebras, Homological dimension in associative algebras, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Arithmetic ground fields for curves, Commutative rings of differential operators and their modules, Sheaves of differential operators and their modules, \(D\)-modules The global dimension of rings of differential operators on projective spaces | 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 Fox-Neuwirth cell structures; configuration spaces; cohomology of symmetric groups Chad Giusti and Dev Sinha, Fox-Neuwirth cell structures and the cohomology of symmetric groups. Preprint, arXiv:1110.4137, 2011. Cohomology of groups, Geometric structures on manifolds of high or arbitrary dimension, Classifying spaces of groups and \(H\)-spaces in algebraic topology, Symmetric groups, Grassmannians, Schubert varieties, flag manifolds Fox-Neuwirth cell structures and the cohomology of symmetric 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 nonnoetherian rings; foundations of algebraic geometry; noncommutative algebraic geometry Beil, C., Nonnoetherian geometry, \textit{J. Algebra Appl.}, 15, (2016) Dimension theory, depth, related commutative rings (catenary, etc.), Generalizations (algebraic spaces, stacks) Nonnoetherian 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; surfaces of general type; Hurwitz action; surfaces isogenous to a product Families, moduli, classification: algebraic theory, Surfaces of general type, Finite nilpotent groups, \(p\)-groups, Special subgroups (Frattini, Fitting, etc.), Fuchsian groups and their generalizations (group-theoretic aspects), Riemann surfaces On asymptotic bounds for the number of irreducible components of the moduli space of surfaces of general type. 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 homotopy theory; o-minimal expansions of fields; homotopy groups; Hurewicz theorem; Whitehead theorem Baro, E.; Otero, M.: On o-minimal homotopy groups, Quart. J. Math. 61, 275-289 (2010) Model theory of ordered structures; o-minimality, Semialgebraic sets and related spaces, Homotopy groups On o-minimal homotopy 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 moduli of vector bundles; del Pezzo surfaces; birational geometry; Fano varieties Vector bundles on surfaces and higher-dimensional varieties, and their moduli, \(4\)-folds, Fano varieties, Minimal model program (Mori theory, extremal rays) The blow-up of \(\mathbb{P}^4\) at 8 points and its Fano model, via vector bundles on a del Pezzo surface | 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 concealed-canonical algebras; separating exact subcategories; components of Auslander-Reiten quivers; quadratic forms; Artin algebras; tame hereditary algebras Lenzing, H.; de la Peña, J. A., Concealed-canonical algebras and separating tubular families, Proc. Lond. Math. Soc., 78, 513-540, (1999) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Vector bundles on curves and their moduli, Representations of quivers and partially ordered sets Concealed-canonical algebras and separating tubular families. | 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 Euclidean lattice; geometric Voronoï theory; perfect lattice; eutaxy; systole; length function; convexoïdal; configuration of minimal vectors; Humbert form; invariant of Hermite-Humbert; invariant of Bergé-Martinet; Riemann surface C. Bavard, ''Théorie de Voronoï géométrique. Propriétés de finitude pour les familles de réseaux et analogues,'' Bull. Soc. Math. France 133, 205--257 (2005). Quadratic forms (reduction theory, extreme forms, etc.), Quadratic forms over global rings and fields, Lattices and convex bodies (number-theoretic aspects), Minima of forms, Abelian varieties and schemes, Conformal metrics (hyperbolic, Poincaré, distance functions), Riemann surfaces, Connections (general theory), Global differential geometry Voronoï's geometric theory. Finiteness properties for families of lattices and similar objects | 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 formal power series; language; zeta function; algebraic function C. Kassel and C. Reutenauer, Complete determination of the zeta function of the Hilbert scheme of n points on a two-dimensional torus, \textit{Ramanujan J.}, to appear. Noncommutative algebraic geometry, Exact enumeration problems, generating functions, Algebraic theory of languages and automata, Combinatorics on words, Algebraic functions and function fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Algebraicity of the zeta function associated to a matrix over a free group 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 integrable highest weight modules; construction of enveloping algebra; Kac-Moody algebras; quiver varieties; Hecke correspondences H. Nakajima, ``Quiver varieties and Kac-Moody algebras'', Duke Math. J.91 (1998) no. 3, p. 515-560 Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Universal enveloping (super)algebras, Lagrangian submanifolds; Maslov index, Group actions on affine varieties Quiver varieties and Kac-Moody 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 normalized Mumford form; moduli space of algebraic curves; Ramanujan delta function; Polyakov string measure Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Arithmetic ground fields for curves, Arithmetic varieties and schemes; Arakelov theory; heights, Local ground fields in algebraic geometry, Theta functions and curves; Schottky problem, String and superstring theories; other extended objects (e.g., branes) in quantum field theory An explicit formula of the normalized Mumford form | 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 families of rational surfaces; birational maps; automorphisms; positive entropy Déserti, J; Grivaux, J, Automorphisms of rational surfaces with positive entropy, Indiana Univ. Math. J., 60, 1589-1622, (2011) Birational automorphisms, Cremona group and generalizations, Topological entropy, Complex spaces with a group of automorphisms, Rational and ruled surfaces, Automorphisms of surfaces and higher-dimensional varieties, Dynamical systems over complex numbers Automorphisms of rational surfaces with positive entropy | 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 cocycle twists; noncommutative geometry; Sklyanin algebras Davies, Andrew, Cocycle twists of 4-dimensional Sklyanin algebras, J. Algebra, 457, 323-360, (2016) Twisted and skew group rings, crossed products, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Actions of groups and semigroups; invariant theory (associative rings and algebras) Cocycle twists of 4-dimensional Sklyanin 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 Jacobians of genus 2 curves; finite fields; cardinality; 2-adic valuation Curves over finite and local fields, Jacobians, Prym varieties, Special algebraic curves and curves of low genus The 2-adic valuation of the cardinality of Jacobians of genus 2 curves over quadratic towers of 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 arithmetic differential operators; \(p\)-adic cohomology; crystalline cohomology; rigid cohomology; formal schemes; rigid analytic geometry; arithmetic of local fields Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, \(p\)-adic cohomology, crystalline cohomology, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.) Arithmetic differential operators with congruence level structures: first results and examples | 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 characteristic \(p\); Bogomolov inequality; Chern numbers; vanishing theorem; adjoint linear systems; surfaces of general type Shepherd-Barron, N. I., Unstable vector bundles and linear systems on surfaces in characteristic \(p\), Invent. Math., 106, 2, 243-262, (1991) Divisors, linear systems, invertible sheaves, Finite ground fields in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Unstable vector bundles and linear systems on surfaces in characteristic p | 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 function fields; minimal surface; minimal models Minimal model program (Mori theory, extremal rays) Recent Advances in the theory of minimal models | 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 discriminant variety; versal unfolding; analytic function germ; stable germs; Saito's vector fields DOI: 10.1112/jlms/s2-30.3.551 Differentiable maps on manifolds, Theory of singularities and catastrophe theory, Singularities in algebraic geometry, Local complex singularities Functions on discriminants | 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 surfaces; minimal analytic surface; number of algebraic families of curves with fixed arithmetic genus Families, moduli of curves (algebraic), Enumerative problems (combinatorial problems) in algebraic geometry, Algebraic cycles Finiteness of numbers of curves on a minimal surface with \(\kappa=1\) | 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 diffeomorphy of rational surface; minimal complex surfaces of general type; numerical Godeaux surface D. Kotschick, On irreducible four-manifolds, Preprint (1995). Surfaces of general type, Differential topological aspects of diffeomorphisms, Rational and unirational varieties On the blowups of numerical Godeaux 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 \(z\)-divisible local Anderson modules; Drinfeld modules; \(A\)-motives; Drinfeld modular varieties; tensor constructions; multilinear theory of Drinfeld displays Drinfel'd modules; higher-dimensional motives, etc., Modular and Shimura varieties Tensor constructions on \(z\)-divisible local Anderson modules | 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 Springer correspondence; nearby cycle sheaves; symmetric pairs; Hecke algebras; Hessenberg varieties; Fourier transform Representation theory for linear algebraic groups, Linear algebraic groups over the reals, the complexes, the quaternions, Group actions on varieties or schemes (quotients), Hecke algebras and their representations Springer correspondence for the split symmetric pair in type \(A\) | 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 harmonic analysis; spectral theory; Lax-Phillips scattering theory; periodic operators; Riemann surfaces; doubly connected domain; Schottky doubles of planar domains; character-automorphic Hardy spaces; torus of spaces; multiplicative multivalued functions S. I. Fedorov, On harmonic analysis in a multiply connected domain and character-automorphic Hardy spaces, Algebra i Analiz 9 (1997), no. 2, 192 -- 240 (Russian); English transl., St. Petersburg Math. J. 9 (1998), no. 2, 339 -- 378. \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables, Harmonic functions on Riemann surfaces, Differentials on Riemann surfaces, Analytic theory of abelian varieties; abelian integrals and differentials On harmonic analysis in a multiply connected domain and character-automorphic Hardy spaces | 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 semisimple symmetric spaces of Chevalley groups; semisimple algebraic group; non-Riemannian symmetric space; Eisenstein series; functional equations; zeta functions for prehomogeneous vector spaces F. SATO, Eisenstein series on semisimple symmetric spaces of Chevalley groups, Advanced Studie in Pure Math. 7, Automorphic Forms and Number Theory, (I. Satake, ed.), Kinokuniya, Tokyo, 1985, 295-332. Harmonic analysis on homogeneous spaces, Holomorphic modular forms of integral weight, Zeta functions and \(L\)-functions of number fields, Homogeneous spaces and generalizations, Linear algebraic groups over global fields and their integers Eisenstein series on semisimple symmetric spaces of 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 surfaces of third order Geometry of orders of surfaces, Special surfaces On surfaces of third order. | 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 ground field; exponential sums; Newton polygon of the L-function Sperber, S., On the \textit{p}-adic theory of exponential sums, Am. J. math., 108, 2, 255-296, (1986) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, Exponential sums On the p-adic theory of exponential sums | 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 genera of functions fields; rigid geometry Matignon, M.; Youssefi, T.: Appendix to inégalité relative des genres by T. Youssefi. Manuscripta math. 78, No. 2, 111-128 (1993) Algebraic functions and function fields in algebraic geometry, Valuations and their generalizations for commutative rings, Curves over finite and local fields, Local ground fields in algebraic geometry Relative inequality between genera. Appendix by Michel Matignon and Taoufik Youssefi: Good reduction and surjective morphisms | 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 complex abelian surfaces; quartic surfaces; configuration of lines; Calabi-Yau threefold Barth, W.; Nieto, I., Abelian surfaces of type \((1,3)\) and quartic surfaces with \(16\) skew lines, J. Algebraic Geom., 3, 173-222, (1994) Families, moduli, classification: algebraic theory, Algebraic moduli of abelian varieties, classification, \(3\)-folds Abelian surfaces of type (1,3) and quartic surfaces with 16 skew lines | 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 ground fields; Tate conjecture on algebraic cycles; powers of an ordinary K3 surface; Galois action; Tate classes Yu. G. Zarhin, The Tate conjecture for powers of ordinary \(K3\) surfaces over finite fields , in preparation. Algebraic cycles, Finite ground fields in algebraic geometry, \(K3\) surfaces and Enriques surfaces The Tate conjecture for powers of ordinary K3 surfaces 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 Catalan number; flagged Schur function; Demazure character; key polynomial; pattern avoiding permutation; symmetric group parabolic quotient Exact enumeration problems, generating functions, Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds, Symmetric groups Parabolic Catalan numbers count flagged Schur functions and their appearances as type A Demazure characters (key polynomials) | 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 quantum cluster algebras; quantum nilpotent algebras; iterated Ore extensions; noncommutative unique factorization domain K. R. Goodearl and M. T. Yakimov, \textit{Quantum cluster algebra structures on quantum nilpotent algebras}, Memoirs of the American Mathematical Society \textbf{247} (2017). Ring-theoretic aspects of quantum groups, Cluster algebras, Quantum groups (quantized enveloping algebras) and related deformations, Grassmannians, Schubert varieties, flag manifolds Quantum cluster algebra structures on quantum nilpotent 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 Picard group; adjunction process; surfaces of small sectional genus; Castelnuovo's bound for the genus of a curve Special surfaces, Divisors, linear systems, invertible sheaves, Picard groups, Projective techniques in algebraic geometry On projective surfaces arising from an adjunction process | 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 Tate conjecture; compactification of Hilbert-Blumenthal surface; L- function; algebraic cycles; Hirzebruch-Zagier cycles Harder, G.; Langlands, R. P.; Rapoport, M., Algebraische Zyklen auf Hilbert-Blumenthal-Flächen, J. Reine Angew. Math., 0075-4102, 366, 53-120, (1986) Cycles and subschemes, Special surfaces, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Algebraische Zyklen auf Hilbert-Blumenthal-Flächen | 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 holomorphic family; function field; Kodaira surface; Teichmüller space; Diophantine equation; Riemann surfaces; holomorphic section Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Families, moduli of curves (analytic), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Teichmüller theory for Riemann surfaces A remark on holomorphic sections of certain holomorphic families of 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 moduli of vector bundles on surfaces; Segre invariant; stratification of moduli space Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Sheaves in algebraic geometry On the Segre invariant for rank two vector bundles on \(\mathbb{P}^2\) | 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 Hodge theory; Albanese variety; Kähler manifold; moduli of algebraic surfaces; deformations; irrational pencils Catanese, F, Moduli and classification of irregular Kähler manifolds (and algebraic varieties) with Albanese general type fibrations, Invent. Math., 104, 263-289, (1991) Compact Kähler manifolds: generalizations, classification, Complex-analytic moduli problems, Transcendental methods, Hodge theory (algebro-geometric aspects), Global differential geometry of Hermitian and Kählerian manifolds, Algebraic moduli problems, moduli of vector bundles, Moduli, classification: analytic theory; relations with modular forms Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations. Appendix by Arnaud Beauville | 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 fundamental group; surfaces of general type; Campedelli surfaces Ciliberto, C., Mendes Lopes, M., Pardini, R.: Surfaces with \(K^2<3\chi \) and finite fundamental group. Math. Res. Lett. \textbf{14}(6), 1069-1086 (2007) Surfaces of general type Surfaces with \(K^2<3_{\chi}\) and finite fundamental group | 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 differential function fields; differential field; movable singularity; abelian function; differential Galois extension; ADE; algebraic differential equations Differential algebra, Formal methods and deformations in algebraic geometry Fields of meromorphic functions | 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 Witt ring; dimension index; skew symmetric; bilinear space; vector bundle Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic theory of quadratic forms; Witt groups and rings, Witt groups of rings The invariant \(e^0\) | 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 deformations of curve; cyclic cover of projective line; period space for Riemann surfaces; holomorphic differentials; group of automorphisms Coverings of curves, fundamental group, Families, moduli of curves (algebraic), Differentials on Riemann surfaces, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Algebraic functions and function fields in algebraic geometry, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) The geometry of the period mapping on cyclic covers of \({\mathbb{P}}_ 1\) | 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 Ulrich bundles; Frobenius split varieties; abelian varieties; \(K3\) surfaces; surfaces of general type; threefolds; Fano varieties Vector bundles on surfaces and higher-dimensional varieties, and their moduli On the construction of weakly Ulrich bundles | 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 real algebraic set; semialgebraic set; regular function; rational function; regulous function; arc-symmetric set; arc-analytic function; approximation; vector bundle Real algebraic sets, Semialgebraic sets and related spaces, Arcs and motivic integration, Real rational functions, Topology of vector bundles and fiber bundles, Real-analytic and Nash manifolds From continuous rational to regulous functions | 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 invariants of finite group; inverse problem of Galois theory; Noether's problem; function field of a torus; Algebraic Tori; rational points of tori Swan, R. G.: Noether's problems in Galois theory. Symposium ''emmy Noether in bryn mawr'' (1983) Transcendental field extensions, Separable extensions, Galois theory, Rational and unirational varieties, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Linear algebraic groups over arbitrary fields, Integral representations of finite groups Noether's problem in 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 decomposition of birational morphism; smooth curves on surfaces; with rational double points; blow-up of a smooth point; Gorenstein; threefold singularities D. Morrison, ''The biratioanl geometry of surfaces with ratiional double points,''Math. Ann.,271, 415--438 (1985). Global theory and resolution of singularities (algebro-geometric aspects), Rational and birational maps, Singularities of surfaces or higher-dimensional varieties, \(3\)-folds, Singularities in algebraic geometry The birational geometry of surfaces with rational double points | 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 degeneracy locus of symmetric bundle maps; determinantal variety; variation of weight one Hodge structure; families of genus g curves Joe Harris & Loring W. Tu, ``On symmetric and skew-symmetric determinantal varieties'', Topology23 (1984) no. 1, p. 71-84 Sphere bundles and vector bundles in algebraic topology, Determinantal varieties, Characteristic classes and numbers in differential topology, Transcendental methods, Hodge theory (algebro-geometric aspects), Families, moduli of curves (algebraic) On symmetric and 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 derived categories; tubular algebras; automorphism groups; numbers of orbits; weighted projective lines Representations of associative Artinian rings, Vector bundles on curves and their moduli A tubular algebra with three types of separating tubular families. | 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 algebraic geometry codes; n-automorphisms; admissible function fields; Hermitian function fields A. Picone, Automorphisms of generalized algebraic geometry codes, Ph.D. Thesis, Università degli Studi di Palermo, 2007 Algebraic functions and function fields in algebraic geometry, Applications to coding theory and cryptography of arithmetic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory Automorphisms of Hermitian 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 group actions on varieties and schemes; actions of groups on commutative rings; invariant theory; automorphisms of surfaces and higher-dimensional varieties 10.1090/mcom/3185 Group actions on varieties or schemes (quotients), Actions of groups on commutative rings; invariant theory, Automorphisms of surfaces and higher-dimensional varieties, Computational aspects of higher-dimensional varieties Computing automorphisms of Mori dream spaces | 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 Enriques surfaces Gritsenko, V.; Hulek, K., Moduli of polarized Enriques surfaces.K3 surfaces and their moduli, Progr. Math. 315, 55-72, (2016), Birkhäuser/Springer, [Cham] \(K3\) surfaces and Enriques surfaces, Moduli, classification: analytic theory; relations with modular forms Moduli of polarized 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 Riemann-Roch theorem; algebraic function fields Algebraic functions and function fields in algebraic geometry Eine Vorbereitung auf den Riemann-Rochschen Satz für algebraische Funktionenkörper | 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; determinant; diagonalization; eigenvector; eigenvalue; symmetric function; splitting algebra; universal root; regularity; spectral mapping Polynomials over commutative rings, Galois theory and commutative ring extensions, Rings of fractions and localization for commutative rings, Theory of matrix inversion and generalized inverses, Determinants, permanents, traces, other special matrix functions, Matrices over function rings in one or more variables, Polynomials and finite commutative rings, Determinantal varieties Diagonalization of matrices over 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 K3 surface; degenerations of Kunev surfaces; type I degenerations; period map; stratification of coarse moduli space of Kunev surfaces \(K3\) surfaces and Enriques surfaces, Formal methods and deformations in algebraic geometry, Period matrices, variation of Hodge structure; degenerations Type I degeneration of Kunev surfaces. 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 Dynkin graphs; minimal resolution of a normal quartic surface; classification of singularities of plane sextics; classification of singular quartic surfaces Urabe, T.: Singularities in a certain class of quartic surfaces and sextic curves and Dynkin graphs. Proc. 1984 Vancouver Conf. Alg. Geom., CMS Conf. Proc.6, 477-497 (1986) Singularities of surfaces or higher-dimensional varieties, Singularities of curves, local rings, Singularities in algebraic geometry Singularities in a certain class of quartic surfaces and sextic curves and Dynkin graphs | 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 Lang's conjecture; function fields; hypersurfaces; algebraic Morse inequalities; jet spaces Christophe Mourougane, ''Families of hypersurfaces of large degree'', J. Eur. Math. Soc. (JEMS)14 (2012) no. 3, p. 911-936 | Rational points, Hypersurfaces and algebraic geometry, Heights, Families, moduli, classification: algebraic theory Families of hypersurfaces of large degree | 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 Riemann hypothesis for imaginary quadratic fields; point of complex multiplication B. Edixhoven, Special points on the product of two modular curves, Compos. Math. 114 (1998), no. 3, 315-328. Modular and Shimura varieties, Complex multiplication and abelian varieties, Modular correspondences, etc., Arithmetic aspects of modular and Shimura varieties Special points on the product of two 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 algebraic curves; Riemann surfaces; field of moduli; field of definition Hidalgo, R. A.; Reyes-Carocca, S.; Valdés, M. E.: Field of moduli and generalized Fermat curves, Rev. colomb. Mat. 47, No. 2, 205-221 (2013) Automorphisms of curves, Families, moduli of curves (algebraic), Special algebraic curves and curves of low genus, Compact Riemann surfaces and uniformization Field of moduli and generalized Fermat 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 Hilbert schemes of points; quiver varieties; HIrzebruch surfaces; ADHM data; monads; Nakajima quivers; McKay quivers; quiver varieties, moduli spaces of quiver representations Bartocci, C.; Bruzzo, U.; Lanza, V.; Rava, C.L.S., Hilbert schemes of points of \(\mathcal{O}_{\mathbb{P}^1}(- n)\) as quiver varieties, J. pure appl. algebra, 221, 2132-2155, (2017) Algebraic moduli problems, moduli of vector bundles, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Representations of quivers and partially ordered sets Hilbert schemes of points of \(\mathcal{O}_{\mathbb{P}^1}(- n)\) as quiver 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 Weyl groups; Coxeter groups; representations of Hecke algebras; Jordan-Hölder series of Verma modules; irreducible highest weight modules; Weyl character formula; primitive ideals in enveloping algebras; complex semisimple Lie algebras; local Poincaré duality; geometry of Schubert cells; flag varieties; intersection cohomology; Laurent polynomials; intertwining operators; finite Chevalley groups; affine Weyl groups; cohomology groups; simple reflections; highest weight representations; Cartan subalgebras D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, \textit{Invent.} \textit{Math.}, 53 (1979), no. 2, 165--184.Zbl 0499.20035 MR 560412 Reflection and Coxeter groups (group-theoretic aspects), Representation theory for linear algebraic groups, Hecke algebras and their representations, Universal enveloping (super)algebras, Linear algebraic groups over arbitrary fields, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Group actions on varieties or schemes (quotients) Representations of Coxeter groups and Hecke 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 families of open curves; function-field analog of the Mordell conjecture Arithmetic ground fields for curves, Families, moduli of curves (analytic), Rational points, Arithmetic varieties and schemes; Arakelov theory; heights A function-field analog of the Mordell conjecture: A non-compact version | 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 Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Differentiation of algebraic functions | 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 Gromov invariants; scheme of morphisms; special Schubert cycles; Chern classes; trivial bundles on Riemann surfaces; Quot schemes Bertram A.: Towards a Schubert calculus for maps from a Riemann surface to a Grassmannian. Internat. J. Math. 5, 811--825 (1994) Grassmannians, Schubert varieties, flag manifolds, Riemann surfaces; Weierstrass points; gap sequences, Factorization systems, substructures, quotient structures, congruences, amalgams, Schemes and morphisms Towards a Schubert calculus for maps from a Riemann surface to a Grassmannian | 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 Abelian algebraic groups; representations of algebraic groups; Cartier duality; profinite algebras; affine schemes Group rings of infinite groups and their modules (group-theoretic aspects), Group schemes, Affine algebraic groups, hyperalgebra constructions, Representation theory for linear algebraic groups Profinite algebras and their representations. | 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 holomorphic sectional curvatures; maximal rationally connected fibrations; abelian varieties; ruled surfaces; RC positivity; minimal models Global differential geometry of Hermitian and Kählerian manifolds, Rationally connected varieties, Positive curvature complex manifolds On the image of MRC fibrations of projective manifolds with semi-positive holomorphic sectional curvature | 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 entire transcendental function; measure of linear independence over imaginary quadratic field; Jacobi theta function P. Bundschuh and I. Shiokawa, ''A measure for the linear independence of certain numbers,'' Results Math. 7 (1984), 130--144. Transcendence (general theory), Approximation by numbers from a fixed field, Theta functions and abelian varieties A measure for the linear independence of certain numbers | 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 space; equivariant compactification; symmetric space of quadrics Abeasis, S.: On a remarkable class of subvarieties of a symmetric variety. Adv. math. 71, 113-129 (1988) Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients) On a remarkable class of subvarieties of a symmetric variety | 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 torsors; Galois extensions; representations of restricted Lie algebras; quantum groups; finite-dimensional Hopf algebras; affine schemes; cocommutative Hopf algebras; Miyashita-Ulbrich actions; equivariant splittings; sheaves; faithfully flat descent [Ru1] D. Rumynin,Hopf-Galois extensions with central invariants and their geometric properties, Alg. Rep. Th.,1 (1998), 353--381. Rings arising from noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations Hopf-Galois extensions with central invariants and their geometric properties | 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 of fields; Galois cohomology; norm-residue map; Azumaya algebra Ina Kersten, Brauergruppen von Körpern, Aspects of Mathematics, D6, Friedr. Vieweg & Sohn, Braunschweig, 1990 (German). Brauer groups of schemes, \(K_2\) and the Brauer group, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Grothendieck groups, \(K\)-theory and commutative rings, Galois cohomology, Galois cohomology Brauer groups of 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 Poisson structures; integrable systems; ruled surfaces Bartocci, C; Macrí, E, Classification of Poisson surfaces, Commun. Contemp. Math., 7, 89-95, (2005) Rational and ruled surfaces, Poisson manifolds; Poisson groupoids and algebroids Classification of Poisson 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 cohomology of \(p\)-adic symmetric spaces; \(p\)-adic cohomology; Steinberg representation; de Rham cohomology; étale cohomology; Bruhat-Tits building; \(p\)-adic Shimura isomorphisms Schneider, P.; Stuhler, U., The cohomology of \(p\)-adic symmetric spaces, Invent. Math., 105, 1, 47-122, (1991) Local ground fields in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, \(p\)-adic cohomology, crystalline cohomology, Non-Archimedean analysis The cohomology of \(p\)-adic symmetric spaces | 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 function; projective varieties of low degree Park, Euisung: On hypersurfaces containing projective varieties, Forum math. (2013) Projective techniques in algebraic geometry, Varieties of low degree On hypersurfaces containing projective 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 reductive groups; irreducible representations; semi-invariants of quivers; tensor product multiplicities; classical groups; invariant theory Sam, S, Symmetric quivers, invariant theory, and saturation theorems for the classical groups, Adv. Math., 229, 1104-1135, (2012) Representation theory for linear algebraic groups, Representations of quivers and partially ordered sets, Geometric invariant theory, Vector and tensor algebra, theory of invariants, Actions of groups on commutative rings; invariant theory Symmetric quivers, invariant theory, and saturation theorems for the classical 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 Kodaira fibrations; fields of definition; compact complex spaces; universal covers González-Diez, G.; Reyes-Carocca, S., The arithmeticity of a Kodaira fibration is determined by its universal cover, Comment. Math. Helv., 90, 2, 429-434, (2015) Compact Riemann surfaces and uniformization, Arithmetic ground fields for curves, Fibrations, degenerations in algebraic geometry, Arithmetic ground fields for surfaces or higher-dimensional varieties, Special surfaces, Surfaces of general type The arithmeticity of a Kodaira fibration is determined by its universal cover | 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 tori; Anasov automorphisms; C*-algebras; K-theory; cluster C*-algebras; Sklyanin algebras; AF-algebras; UHF-algebras; Hecke eigenform; continuous geometries; Connes geometries; index theory; Kasparov KK-theory; Jones polynomials; quantum groups; Hopf algebra; noncommutative algebraic geometry; deformation quantization Research exposition (monographs, survey articles) pertaining to algebraic geometry, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Categories in geometry and topology Noncommutative geometry. A functorial approach | 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 dimension; conjugacy class of a matrix; rank variety; rank function; partition of a non-negative integer Group actions on varieties or schemes (quotients), Determinantal varieties On the dimension of certain \({\mathcal G}{\mathcal L}_n\)-invariant sets 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 algebraic Fermi curves; Bloch variety; density of states function Curves in algebraic geometry, Surfaces and higher-dimensional varieties, Schrödinger operator, Schrödinger equation, PDEs in connection with optics and electromagnetic theory, Applications of quantum theory to specific physical systems Algebraic Fermi curves [after Gieseker, Trubowitz and Knörrer] | 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 Riemann surfaces; orbifolds; coarse moduli spaces; tautological classes; enumerative geometry; moduli spaces of curves; geometric invariant theory; pointed stable curves Families, moduli of curves (algebraic), Classification theory of Riemann surfaces, Geometric invariant theory, Families, moduli of curves (analytic), Fine and coarse moduli spaces A minicourse on moduli of 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 hyperelliptic locus of line bundle; double cover; polarized surfaces of \(\Delta\)-genus Aldo Biancofiore, Maria Lucia Fania, and Antonio Lanteri, Polarized surfaces with hyperelliptic sections, Pacific J. Math. 143 (1990), no. 1, 9 -- 24. Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Families, moduli, classification: algebraic theory, Divisors, linear systems, invertible sheaves, Elliptic curves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Polarized surfaces with hyperelliptic sections | 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 real fields; sums of squares; topology of real algebraic varieties; Tarski-Seidenberg algorithm Topology of real algebraic varieties, History of mathematics in the 20th century, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Real algebra, Biographies, obituaries, personalia, bibliographies The role of Hilbert problems in real 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 varieties; finite fields; small solutions of congruences; systems of forms; points in boxes M. Fujiwara,Distribution of rational points on varieties over finite fields, Mathematika35 (1988), 155--171. Forms of degree higher than two, Finite ground fields in algebraic geometry, Quadratic forms over general fields, Diophantine equations in many variables, Trigonometric and exponential sums (general theory) Distribution of rational points on varieties 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 algebraic curves; algebraic surfaces; forms; automorphisms; fibrations; coverings; vector fields; singularities; rational double points Research exposition (monographs, survey articles) pertaining to algebraic geometry, Special surfaces, Positive characteristic ground fields in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Automorphisms of surfaces and higher-dimensional varieties Algebraic surfaces in positive characteristics. Purely inseparable phenomena in curves and 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 regular differentials; analytic algebras; rings of quotients; trace map; extendable differential forms; smoothness; Zariski-Lipman problem; Kähler differentials M. Kersken andU. Storch, Some applications of the trace mapping for differentials. Banach Center Publ.26, 141-148 (1990). Modules of differentials, Analytic algebras and generalizations, preparation theorems, Analytical algebras and rings, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Some applications of the trace mapping for differentials | 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 canonical surfaces; contact of surfaces; self-linked curve Canonero, G., Gallarati, D., Serpico, M.E.: On regular canonical surfaces of genus four, Mathematical Reports, Romanian Academy, V. \textbf{8}(58) - No. 1, 25-36 (2006) Surfaces of general type, Linkage, Singularities of surfaces or higher-dimensional varieties On regular canonical surfaces of genus four | 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 Riemann surface; automorphisms of Riemann surfaces; p-gonal curve; super-elliptic curve Broughton, S. A.; Wootton, A.: Exceptional automorphisms of (generalized) super elliptic surfaces. Contemp. math. 629, 29-42 (2014) Automorphisms of curves, Compact Riemann surfaces and uniformization, Classification theory of Riemann surfaces, Coverings in algebraic geometry, Plane and space curves Exceptional automorphisms of (generalized) super elliptic 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 finite quotients of braid groups; symplectic groups; fundamental groups; complements of branch curves; algebraic surfaces B. Moishezon,Finite quotients of braid groups related to symplectic groups over \(\mathbb{Z}\)/3, preprint. Braid groups; Artin groups, Coverings of curves, fundamental group, Coverings in algebraic geometry Finite quotients of braid groups related to symplectic groups over \(\mathbb{Z}/3\) | 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 Hilbert function of a generic plane section of a reduced irreducible curve; uniform position; arithmetically Cohen-Macaulay curve; space curve Maggioni, R.; Ragusa, A., The Hilbert function of generic plane sections of curves of \(\mathbf{P}^3\), Invent. Math., 91, 2, 253-258, (1988) Special algebraic curves and curves of low genus, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), Projective techniques in algebraic geometry The Hilbert function of generic plane sections of curves of \({\mathbb P}^ 3\) | 0 |
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