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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 rational surfaces; superrigid sheaf; rigid sheaf; exceptional sheaf Rational and ruled surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Rigid bundles on rational 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 curves in quadric hypersurface; ruled surface; degree; irregularity 13. Giraldo, L., Sols, I.: The irregularity of ruled surfaces in \(\mathbb{P}^3\) . Dedicated to the memory of Fernando Serrano, Collect Math., 49 (1998), no. 2--3, 325--334 Rational and ruled surfaces, Plane and space curves, \(4\)-folds The irregularity of ruled surfaces in \(\mathbb{P}^3\) | 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 minimal analytic compactification; surface singularity Compactification of analytic spaces, Compact complex surfaces, Rational and ruled surfaces Analytic compactification of \(\mathbb C^2/\mathbb D\) | 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 vector bundles; rational ruled surfaces; ruled threefolds; Hilbert schemes; moduli spaces \(3\)-folds, Rational and ruled surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Parametrization (Chow and Hilbert schemes), Algebraic moduli problems, moduli of vector bundles, Varieties of low degree, Adjunction problems On families of rank-\(2\) uniform bundles on Hirzebruch surfaces and Hilbert schemes of their scrolls | 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 algebraic geometry; projective geometry; Koszul duality; algebraic \(K\)-theory; cyclic homology and its variants; topological Hochschild homology Noncommutative algebraic geometry, Projective techniques in algebraic geometry, Quadratic and Koszul algebras, \(K\)-theory and homology; cyclic homology and cohomology, \(K\)-theory of schemes Invariants of noncommutative projective schemes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Manin's conjecture; intrinsic quadrics; global field; positive characteristic D. Bourqui, La conjecture de Manin géométrique pour une famille de quadriques intrinsèques , Manuscripta Math. 135 (2011), no. 4, 1-41. Global ground fields in algebraic geometry, Heights, Positive characteristic ground fields in algebraic geometry, Rational and ruled surfaces Manin's conjecture for a certain family of intrinsic quadrics | 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 universal algebraic geometry; algebraic structure; universal class; quasivariety; joint embedding property; irreducible coordinate algebra; discriminability; Dis-limit; equational Noetherian property; equational codomain; universal geometric equivalence Algebraic structures, Noncommutative algebraic geometry, Equational classes, universal algebra in model theory Algebraic geometry over algebraic structures. IX: Principal universal classes and dis-limits | 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 V. A. Iskovskikh, On finite subgroups of the Cremona group, Vietnam J. Math. 33 (2005), Special Issue, 61--80. Birational automorphisms, Cremona group and generalizations, Rational and ruled surfaces, Automorphisms of surfaces and higher-dimensional varieties On finite subgroups of the Cremona 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 line bundles; adjunction theory; simple normal crossing divisors; special varieties DOI: 10.2996/kmj/1104247353 \(3\)-folds, Rational and ruled surfaces, Divisors, linear systems, invertible sheaves, Adjunction problems Reducible hyperplane sections of threefolds: two components of sectional genus zero | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces period mapping; polarization; coarse moduli spaces; Einstein-Kähler surfaces; Ricci-flat K3-orbifolds; number of singular points on generalized K3 surfaces Ryoichi Kobayashi and Andrey N. Todorov, Polarized period map for generalized \?3 surfaces and the moduli of Einstein metrics, Tohoku Math. J. (2) 39 (1987), no. 3, 341 -- 363. Moduli, classification: analytic theory; relations with modular forms, Compact complex surfaces, Special Riemannian manifolds (Einstein, Sasakian, etc.), Homogeneous spaces and generalizations, Global differential geometry of Hermitian and Kählerian manifolds, Complex-analytic moduli problems, Families, fibrations in algebraic geometry, Rational and ruled surfaces Polarized period map for generalized K3 surfaces and the moduli of Einstein metrics | 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 equations over groups; Makanin-Razborov diagrams; free groups; limit groups; first order theories; quantifier elimination; elementary sets; Tarski problems Z. Sela, ''Diophantine Geometry over Groups. V2: Quantifier Elimination. II,'' Geom. Funct. Anal. 16(3), 537--706 (2006). Word problems, other decision problems, connections with logic and automata (group-theoretic aspects), Free nonabelian groups, Quasivarieties and varieties of groups, Applications of logic to group theory, Diophantine equations in many variables, Noncommutative algebraic geometry, Decidability of theories and sets of sentences, Basic properties of first-order languages and structures, Model-theoretic algebra Diophantine geometry over groups. V\(_2\): Quantifier elimination. 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 quadric; intersection of quadrics; derived category; semiorthogonal decomposition; Clifford algebra; Morita theory; Brauer group; rationality; del Pezzo surface; Fano threefold A. Auel, M. Bernardara and M. Bolognesi, Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems, J. Math. Pures Appl. (9) 102 (2014), 249-291. Rationality questions in algebraic geometry, Quadratic forms over local rings and fields, General ternary and quaternary quadratic forms; forms of more than two variables, Quadratic spaces; Clifford algebras, Brauer groups of schemes, Rational and ruled surfaces, Homogeneous spaces and generalizations, Clifford algebras, spinors Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems | 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 algebra; module; multiplicator; derivation; covariant multiplier; covariant derivative; curvature; gauge transformation; moduli space Yang-Mills and other gauge theories in quantum field theory, Yang-Mills and other gauge theories in mechanics of particles and systems, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Differential algebra, Noncommutative algebraic geometry, Geometric theory, characteristics, transformations in context of PDEs Algebra of gauge theories | 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 Orlov, D. O.: Quasicoherent sheaves in commutative and noncommutative geometry. Izv. ross. Akad. nauk ser. Mat. 67, No. 3, 119-138 (2003) Noncommutative algebraic geometry, Grothendieck topologies and Grothendieck topoi Quasicoherent sheaves in commutative and noncommutative 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 cone of curves; Cox ring; rational surfaces; plane divisorial valuation Valuations and their generalizations for commutative rings, Divisors, linear systems, invertible sheaves, Rational and ruled surfaces The cone of curves and the Cox ring of rational surfaces given by divisorial valuations | 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 ACM line bundle; arithmetically Cohen Macaulay line bundle; elliptic ruled surface Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces ACM line bundles on elliptic ruled surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Brill-Noether loci semistable vector bundles; ruled surfaces; degeneracy loci; moduli Ciliberto, C; Flamini, F, Extensions of line bundles and brill-Noether loci of rank-two vector bundles on a general curve, Rev. Roum. Math. Pures Appl., 60, 201-255, (2015) Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles, Rational and ruled surfaces, Determinantal varieties, Projective techniques in algebraic geometry Extensions of line bundles and Brill-Noether loci of rank-two vector bundles on a general curve | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces ruled surface; elliptic fibration; \(k\)-spanned line bundle; rational surface A. Biancofiore andG. Ceresa, Remarks onk-spannedness for Algebraic Surfaces. Rend. Sem. Mat. Univers. Politecn. Torino46 (1988), 343--352. Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces Remarks on \(k\)-spannedness for algebraic surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces affine surface; divisor class group; logarithmic Kodaira dimension Palka, K., Recent progress in the geometry of \(\mathbb{Q}\)-acyclic surfaces, (Affine Algebraic Geometry: The Russell Festschrift, CRM Proc. Lecture Notes, vol. 54, (2011), Amer. Math. Soc. Providence, RI), 271-287 Classification of affine varieties, Singularities of surfaces or higher-dimensional varieties, Rational and ruled surfaces Recent progress in the geometry of \(\mathbb Q\)-acyclic 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 categories of representations; quasi-hereditary algebras; orbits; Euler forms; directed algebras; exact categories; triangular matrix algebras; categories of prinjective modules; category equivalences Brüstle, T.; Hille, L.: Matrices over upper triangular bimodules and \({\Delta}\)-filtered modules over quasi-hereditary algebras. Coll. math. 83, 295-303 (2000) Representations of quivers and partially ordered sets, Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc., Group actions on varieties or schemes (quotients), Module categories in associative algebras, Endomorphism rings; matrix rings Matrices over upper triangular bimodules and \(\Delta\)-filtered modules over quasi-hereditary algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces algebraic surface; moduli space; rational surfaces Rational and ruled surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Special surfaces, Families, moduli, classification: algebraic theory Rational surfaces and moduli spaces of vector bundles on rational 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 lines and points Configurations and arrangements of linear subspaces, Rational and ruled surfaces On a special configuration of lines and points in \(\mathbb P^N\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Gauss map; focal loci Fukasawa, S.: Developable varieties in positive characteristic. Hiroshima Math. J. 35, 167--182 (2005) Projective techniques in algebraic geometry, Rational and ruled surfaces, Arithmetic ground fields for surfaces or higher-dimensional varieties Developable varieties in positive characteristic | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rational surfaces; Néron-Severi group; blowing-up; monoid of effective divisor classes Rational and ruled surfaces Rational surfaces with anticanonical divisor not reduced | 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 projective bundles; relative quadric surfaces; elliptic curve Takahashi, Certain relative quadric hypersurfaces of 3-dimensional projective space bundles over a projective curve, Geom. Dedicata 154 pp 183-- (2011) \(3\)-folds, Rational and ruled surfaces Certain relative quadric hypersurfaces in 3-dimensional projective space bundles over a projective curve | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces singular fiber; adjoint linear system; non-compact Jacobian Yu, F, Note on families of semistable curves over \({\mathbb{P}}^1\) with 4 singular fibers whose Jacobian are non-compact, Sci. China, 53, 1711-1714, (2010) Families, moduli, classification: algebraic theory, Rational and ruled surfaces Note on families of semistable curves over \(\mathbb P^{1}\) with 4 singular fibers whose Jacobian are non-compact | 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 gauge theory; Van de Ven conjecture; a surface of general type can not be diffeomorphic to a rational surface Friedman R., Qin Z., On complex surfaces diffeomorphic to rational surfaces, Invent. Math., 1995, 120(1), 81--117 Surfaces of general type, Rational and ruled surfaces, Families, moduli, classification: algebraic theory On complex surfaces diffeomorphic to rational 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 Shustin, E.: On higher genus Welschinger invariants of del Pezzo surfaces. \textit{IMRN} 2015, 6907--6940. DOI: 10.1093/imrn/rnu148. Rational and ruled surfaces, Real algebraic sets, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) On higher genus Welschinger invariants of del Pezzo 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 Hilbert functions; graded Betti numbers; fat points; splitting types Gimigliano, Stable postulation and stable ideal generation: conjectures for fat points in the plane, Bull. Belg. Math. Soc. Simon Stevin 16 (5) pp 853-- (2009) Divisors, linear systems, invertible sheaves, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Rational and ruled surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Stable postulation and stable ideal generation: conjectures for fat points in the plane | 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 twistor spaces; slice regular functions; functions of hypercomplex variables; rational and ruled surfaces Altavilla, A., Twistor interpretation of slice regular functions, J. Geom. Phys., 123, 184-208, (2018) Twistor methods in differential geometry, Functions of hypercomplex variables and generalized variables, Global differential geometry of Hermitian and Kählerian manifolds, Rational and ruled surfaces Twistor interpretation of slice regular 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 derived category of coherent sheaves; semiorthogonal decomposition; full exceptional collection Rational and ruled surfaces, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) Classification of full exceptional collections on smooth toric Fano varieties with Picard rank two | 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 discriminating groups; squarelike groups; axiomatizable classes; examples; finitely generated groups; algebraic geometry over groups Residual properties and generalizations; residually finite groups, Model-theoretic algebra, Word problems, other decision problems, connections with logic and automata (group-theoretic aspects), Applications of logic to group theory, Noncommutative algebraic geometry Discriminating and squarelike groups. II: 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 holomorphic foliation; Chern classes; foliations of ruled surfaces; transversal structure Xavier Gómez-Mont, Holomorphic foliations in ruled surfaces, Trans. Amer. Math. Soc. 312 (1989), no. 1, 179 -- 201. Foliations in differential topology; geometric theory, Rational and ruled surfaces Holomorphic foliations in ruled surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces spin-zero oscillator; cosmic string; rotating frame; non-commutative geometry Black holes, Singular and oscillatory integrals (Calderón-Zygmund, etc.), Applications of differential geometry to physics, Nonlinear oscillations and coupled oscillators for ordinary differential equations, Noncommutative algebraic geometry Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time. II: Spin-zero Duffin-Kemmer-Petiau-like oscillator | 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 DOI: 10.1007/s00208-007-0157-4 Rational and ruled surfaces, Jacobians, Prym varieties Del Pezzo surfaces of degree 1 and Jacobians | 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 Hirzebruch surfaces; distribution of rational points; minimal models of rational surfaces; Batyrev-Manin conjectures; asymptotic formulas; bounded height; exceptional curves; accumulating subvarieties Billard, H, Répartition des points rationnels des surfaces géométriquement réglées rationnelles, Astérisque, 251, 79-89, (1998) Varieties over global fields, Rational points, Global ground fields in algebraic geometry, Rational and ruled surfaces Distribution of rational points of rational geometrically ruled surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Cremona transformations; plane curves; decomposition group; inertia group ---, Sur le sous-groupe de décomposition d'une courbe irrationnelle dans le groupe de Cremona du plan, Michigan Math. J. 55 (2007), 285-298. Birational automorphisms, Cremona group and generalizations, Rational and birational maps, Rational and ruled surfaces, Plane and space curves On the decomposition subgroup of an irrational curve in the Cremona group of the plane | 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 unirationality; del Pezzo surfaces; cubic surfaces; group actions Rational and unirational varieties, Group actions on varieties or schemes (quotients), Rational and ruled surfaces Equivariant unirationality of del Pezzo surfaces of degree 3 and 4 | 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 subgroups of Brauer groups; twists of matrix algebras; Gauss sums; Dirichlet characters Chi W.C., Bull.Austral.Math.Soc 50 pp 245-- (1994) Galois cohomology, Galois cohomology, Finite-dimensional division rings, Endomorphism rings; matrix rings, Brauer groups of schemes Twists of matrix algebras and some subgroups of Brauer groups. 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 rational surface; quartic surfaces Rational and ruled surfaces, Projective techniques in algebraic geometry, Rational and unirational varieties The quartic projections of Castelnuovo's normal surface with hyperelliptic prime 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 formally smooth bimodules; separable bimodules; Hochschild cohomology groups; separable bimodules Ardizzoni A, Brzeziński T, Menini C. Formally smooth bimodules. J Pure Appl Algebra, 2008, 212: 1072--1085 Bimodules in associative algebras, Noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Relative homological algebra, projective classes (category-theoretic aspects) Formally smooth bimodules. | 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 Cox rings; rational elliptic surfaces M. Artebani, A. Garbagnati, A. Laface: Cox rings of extremal rational elliptic surfaces. To appear in Transactions of the AMS. Preprint, arXiv:1302.4361. Rational and ruled surfaces, Divisors, linear systems, invertible sheaves Cox rings of extremal rational 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 automorphism groups; affine 2-space H. Kojima, Notes on minimal normal compactifications of \(\mathbb{C}\)2/G.Nihonkai Math. J. 54 (2004), 127--136. Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Group actions on affine varieties, Singularities of surfaces or higher-dimensional varieties, Group actions on varieties or schemes (quotients), Rational and ruled surfaces Notes on minimal normal compactifications of \(\mathbb{C}^2/G\) | 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 Flenner, H., Kaliman, S., Zaidenberg, M.: Corrigendum to our paper ``Birational transformations of weighted graphs''. Affine Algebraic Geometry, CRM Proceedings of the Lecture Notes, vol. 54, pp. 35-38. American Mathematical Society, Providence (2011) Automorphisms of surfaces and higher-dimensional varieties, Rational and ruled surfaces, Affine geometry, Graph theory Corrigendum to our paper ``Birational transformations of weighted 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 Collections of abstracts of lectures, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to associative rings and algebras, Proceedings, conferences, collections, etc. pertaining to nonassociative rings and algebras, Noncommutative algebraic geometry Interactions between algebraic geometry and noncommutative algebra. Abstracts from the workshop held May 9th -- May 15th, 2010. | 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 Computational aspects of algebraic curves, Rational and ruled surfaces, Finite ground fields in algebraic geometry, Rational and birational maps, Varieties over finite and local fields On the arithmetic of one del Pezzo surface over the field with three elements | 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 varieties; construction of singular divisors; Koszul rings; Newton-Okounkov bodies; syzygies of line bundles Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Bundle convexity, Convex sets in \(2\) dimensions (including convex curves), Syzygies, resolutions, complexes and commutative rings A Reider-type theorem for higher syzygies on abelian 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 toric systems; full exceptional collection; rational projective surface Rational and ruled surfaces, Toric varieties, Newton polyhedra, Okounkov bodies Applications of toric systems 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 Chow groups; Picard groups; Hasse principle; linear equivalence; rational surfaces P. Salberger, On the arithmetic of conic bundle surfaces , Séminaire de Théorie des Nombres, Paris 1985-86, Progr. Math., vol. 71, Birkhäuser Boston, Boston, MA, 1987, pp. 175-197. Rational and ruled surfaces, Algebraic cycles, Arithmetic ground fields for surfaces or higher-dimensional varieties, Rational and unirational varieties, Arithmetic problems in algebraic geometry; Diophantine geometry On the arithmetic of conic bundle surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rational surfaces; blow-up; minimal free resolution of the homogeneous ideal Holay, S. H.: Free resolutions of the defining ideal of certain rational surfaces. Manuscripta math. 90, No. 1, 23-37 (1996) Rational and ruled surfaces, Syzygies, resolutions, complexes and commutative rings Free resolutions of the defining ideal of certain rational 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 Yu. A. Drozd and D. E. Voloshyn, ''Vector bundles over noncommutative nodal curves,'' Ukr. Mat. Zh., 64, No. 2, 185--199 (2012); English translation: Ukr. Math. J., 64, No. 2, 208--224 (2012). Noncommutative algebraic geometry, Vector bundles on curves and their moduli Vector bundles over noncommutative nodal 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 dualizing complex; Grothendieck duality Noncommutative algebraic geometry Rigid dualizing complexes | 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 projective varieties M. Beltrametti, E. Carletti, D. Gallarati, G. Bragadin, Lectures on Curves Surfaces and Projective varieties: A classical view of algebraic geometry, Translated from the Italian by Francis Sullivan, European Mathematical Society (EMS), Zürich, 2009. Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Rational and birational maps, Curves in algebraic geometry, Birational geometry, Rational and ruled surfaces Lectures on curves, surfaces and projective varieties. A classical view of algebraic geometry. Transl. from the Italian by Francis Sullivan | 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 non-commutative schemes; quasi-schemes; quasi-coherent sheaves; quantum algebras; quantum planes; curves; Grothendieck categories; graded modules; enveloping algebras S. P. Smith and J. J. Zhang,Curves on quasi-schemes, Algebras and Representation Theory1 (1998), 311--351. Graded rings and modules (associative rings and algebras), Homological dimension in associative algebras, Special algebraic curves and curves of low genus, Relationships between algebraic curves and physics, \(K_0\) of other rings, Rings arising from noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations Curves on quasi-schemes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Quadratic Surfaces Rational and ruled surfaces On a problem concerning the hyperboloid. | 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 syzygies; Noether algebra Syzygies, resolutions, complexes in associative algebras, Homological dimension and commutative rings, Noncommutative algebraic geometry Noncommutative resolutions using syzygies | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rationality of \({\mathbb{Q}}\)-homology planes; rational surfaces; logarithmic Kodaira dimension Gurjar, RV; Pradeep, CR; Shastri, AR, On rationality of logarithmic \({\mathbb{Q}}\)-homology planes. II, Osaka J. Math., 34, 725-743, (1997) Rational and ruled surfaces, Classical real and complex (co)homology in algebraic geometry, Rational and unirational varieties On rationality of logarithmic \(\mathbb{Q}\)-homology planes. 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 Calabi-Yau threefolds; topological vertex; ruled surfaces P. Putrov, J. Song and W. Yan, (0\(,\) 4) \textit{dualities}, \textit{JHEP}\textbf{03} (2016) 185 [arXiv:1505.07110] [INSPIRE]. Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Topological field theories in quantum mechanics, Rational and ruled surfaces A vertex formalism for local ruled surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces polyring; Zariski topology Noncommutative algebraic geometry, Topological and ordered rings and modules, Equational classes, universal algebra in model theory On Zariski topologies on polyrings | 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 weak del Pezzo surface; exceptional collection; line bundle Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Rational and ruled surfaces On cyclic strong exceptional collections of line bundles 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 Hodge theory; cubic fourfolds; Enriques surfaces; \(K3\) surfaces; Coble surfaces Nuer, H., Unirationality of moduli spaces of special cubic fourfolds and \textit{K}3 surfaces, Algebraic geom., 4, 281-289, (2017) Parametrization (Chow and Hilbert schemes), Variation of Hodge structures (algebro-geometric aspects), Algebraic moduli problems, moduli of vector bundles, Rational and ruled surfaces, \(K3\) surfaces and Enriques surfaces, Rational and birational maps Unirationality of moduli spaces of special cubic fourfolds and \(K3\) surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Zariski cancellation problem; Poisson algebra; locally nilpotent derivation; divisor subalgebra; stratiform algebra Poisson algebras, Ordinary and skew polynomial rings and semigroup rings, Chain conditions, growth conditions, and other forms of finiteness for associative rings and algebras, Automorphisms and endomorphisms, Rings arising from noncommutative algebraic geometry, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Derivations, actions of Lie algebras Cancellation and skew cancellation for Poisson 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 quasifree algebras; bivariant cyclic cohomology; cyclic homology; algebraic de Rham cohomology; \(X\)-complex; Chern character; Cartan homotopy formula J. Cuntz, ''Cycle Homology and Nonsingularity,'' J. AMS 8(2), 373--442 (1995). \(K\)-theory and homology; cyclic homology and cohomology, Noncommutative algebraic geometry, Noncommutative topology, Noncommutative differential geometry, Riemann-Roch theorems, Chern characters, de Rham cohomology and algebraic geometry Cyclic homology and nonsingularity | 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 Fano variety; del Pezzo surface; Kähler-Einstein Metric Fano varieties, Kähler-Einstein manifolds, Rational and ruled surfaces, Computational aspects of algebraic surfaces Del Pezzo surfaces in weighted 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 Kronecker modules; endomorphism algebras; cubic curves; plane curves; coordinate rings Okoh, F.; Zorzitto, F. A.: Curves arising from Kronecker modules. Linear algebra appl. 365, 311-348 (2003) Endomorphism rings; matrix rings, Plane and space curves, Birational automorphisms, Cremona group and generalizations Curves arising from Kronecker 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 Quadratic Surfaces Rational and ruled surfaces Notes on a paper, suprà, p. 25 31 | 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 Fioresi, R.; Kwok, S. D.; Gorelik, M. (ed.); Papi, P. (ed.), On SUSY curves, (2014) Analysis on supermanifolds or graded manifolds, Finite-dimensional groups and algebras motivated by physics and their representations, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Supervarieties, Noncommutative algebraic geometry, Supermanifolds and graded manifolds On SUSY 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 Drinfeld's DG quotient; differential graded category; non commutative algebraic geometry; homotopy category; homotopical algebra Gonçalo Tabuada, On Drinfeld's dg quotient, J. Algebra 323 (2010), no. 5, 1226 -- 1240. Noncommutative algebraic geometry, Categorical structures On Drinfeld's DG quotient | 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 non-commutative deformation; simple collection; perverse coherent sheaf; Bondal-Rickard equivalence; tilting bundle; contraction Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Noncommutative algebraic geometry, Derived categories and associative algebras, Derived categories and commutative rings Non-commutative deformations of simple objects in a category of perverse coherent sheaves | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces surfaces with at most quasi-elliptic singularities; Kodaira dimension R. Blache. Positivity Results for Euler Characteristics of Singular Surfaces.Math. Z. 215 (1994), 1--12. Singularities of surfaces or higher-dimensional varieties, Topological properties in algebraic geometry, Rational and ruled surfaces Positivity results for Euler characteristics of singular 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 explicit Brauer-Manin obstruction; cubic surface; Steiner trihedron; triplet; twisted cubic curve; weak approximation Andreas-Stephan Elsenhans and Jörg Jahnel, On the order three Brauer classes for cubic surfaces, Cent. Eur. J. Math. 10 (2012), no. 3, 903 -- 926. Varieties over global fields, Brauer groups of schemes, Rational and ruled surfaces On the order three Brauer classes for cubic surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces ruled surfaces; Darboux frame Surfaces in Euclidean and related spaces, Rational and ruled surfaces, Curves in Euclidean and related spaces Simultaneous developability of Partner ruled surfaces according to Darboux frame in \(E^3\) | 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 equations over groups; solutions to systems of equations; free groups; elementary sets; positive sentences; quantifier elimination; Diophantine geometry over groups; Makanin-Razborov diagrams: Diophantine sets Z. Sela, ''Diophantine Geometry over Groups. IV: An Iterative Procedure for Validation of a Sentence,'' Isr. J. Math. 143, 1--130 (2004). Word problems, other decision problems, connections with logic and automata (group-theoretic aspects), Free nonabelian groups, Quasivarieties and varieties of groups, Applications of logic to group theory, Diophantine equations in many variables, Noncommutative algebraic geometry, Decidability of theories and sets of sentences, Basic properties of first-order languages and structures, Model-theoretic algebra Diophantine geometry over groups. IV: An iterative procedure for validation of a sentence. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rational elliptic surfaces; instanton moduli; Euler characteristic K. Yoshioka, \textit{Euler characteristics of} SU(2) \textit{instanton moduli spaces on rational elliptic surfaces}, \textit{Commun. Math. Phys.}\textbf{205} (1999) 501 [math/9805003] [INSPIRE]. Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Rational and ruled surfaces, Families, moduli, classification: algebraic theory, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Topological properties in algebraic geometry, Relationships between surfaces, higher-dimensional varieties, and physics Euler characteristics of \(\text{SU}(2)\) instanton moduli spaces on rational 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 log del Pezzo surface; minimal compactification; singularity type H. Kojima, Minimal singular compactifications of the affine plane. Nihonkai Math. J. 12(2), 165-195 (2001) Singularities of surfaces or higher-dimensional varieties, Rational and ruled surfaces, Complex surface and hypersurface singularities, Compactification of analytic spaces Minimal singular compactifications of the affine plane. Appendix A: Fundamental groups of some open rational surfaces with \(\overline\kappa=-\infty\). -- Appendix B: A proof of a result of Ramanujan. -- Appendix C: List of configurations | 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 Mori theory; minimal models; Fano variety; Hilbert scheme; rational curves; Chow schemes; vanishing; positive characteristic; Mori's minimal model program; cone theorem; del Pezzo surfaces; Fano varieties Kollár, J., Rational Curves on Algebraic Varieties, (1995), Springer: Springer Berlin Minimal model program (Mori theory, extremal rays), Rational and ruled surfaces, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Parametrization (Chow and Hilbert schemes), Fano varieties, Rational and unirational varieties, Riemann-Roch theorems, Families, moduli of curves (algebraic), Families, moduli, classification: algebraic theory Rational curves on algebraic 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 Proceedings, conferences, collections, etc. pertaining to associative rings and algebras, Representation theory of associative rings and algebras, Modular representations and characters, Noncommutative algebraic geometry, Proceedings of conferences of miscellaneous specific interest Expository lectures on representation theory. Maurice Auslander distinguished lectures and international conference, Woods Hole Oceanographic Institute, Quisset Campus, Falmouth, MA, USA, April 25--30, 2012. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces algebraic geometric codes; error-correcting linear codes Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry, Rational and ruled surfaces, Algebraic coding theory; cryptography (number-theoretic aspects) Algebraic-geometric codes from rational 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 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Commutative rings of differential operators and their modules, Rings arising from noncommutative algebraic geometry, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) Gröbner bases in \(D\)-modules: application to Bernstein-Sato 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 subcanonical curves Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Rational and ruled surfaces, Complete intersections Subcanonical, Gorenstein and complete intersection curves on del Pezzo 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 matrix factorisation; supertrace; Hirzebruch-Riemann-Rach; Chern character; dg category; Hom-space Polishchuk, A.; Vaintrob, A., \textit{Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations}, Duke Math. J., 161, 1863-1926, (2012) Noncommutative algebraic geometry, Singularities in algebraic geometry, Complex surface and hypersurface singularities Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations | 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 Gosset polytope; Picard group; des Pezzo surface J. -H. Lee: Gosset polytopes in Picard groups of del Pezzo surfaces. Can. J. Math. 64 (2012), 123--150. Rational and ruled surfaces, Lie groups, Reflection groups, reflection geometries Gosset polytopes in Picard groups of del Pezzo 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 Surfaces and higher-dimensional varieties, Projective and enumerative algebraic geometry, Global differential geometry, Symplectic geometry, contact geometry, General low-dimensional topology, Differential topology, Rational and ruled surfaces, Surfaces of general type, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Real algebraic and real-analytic geometry, Almost complex manifolds, General geometric structures on manifolds (almost complex, almost product structures, etc.), Symplectic aspects of Floer homology and cohomology, General geometric structures on low-dimensional manifolds, Specialized structures on manifolds (spin manifolds, framed manifolds, etc.), Symplectic and contact topology in high or arbitrary dimension, Differentiable structures in differential topology, Applications of global analysis to structures on manifolds, Floer homology, Collections of abstracts of lectures Report 35/2006: Four-dimensional manifolds (August 6th -- August 12th, 2006) | 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 algebraic geometry, Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product), General theory of \(C^*\)-algebras, Loop groups and related constructions, group-theoretic treatment, Topology of vector bundles and fiber bundles Noncommutative geometry and an index theory of infinite-dimensional manifolds | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Research exposition (monographs, survey articles) pertaining to algebraic geometry, Noncommutative algebraic geometry Associative 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 Choi, Y.; Park, E., On higher syzygies of ruled surfaces III, J. pure appl. algebra, 219, 4653-4666, (2015) Syzygies, resolutions, complexes and commutative rings, Rational and ruled surfaces, Projective techniques in algebraic geometry On higher syzygies of ruled surfaces. III. | 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 group; log \(K3\) surfaces; del Pezzo surfaces \(K3\) surfaces and Enriques surfaces, Brauer groups of schemes, Arithmetic ground fields for surfaces or higher-dimensional varieties, Rational and ruled surfaces A uniform bound on the Brauer groups of certain log $K3$ surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces vector bundle; ACM vector bundle; arithmetically Cohen-Macaulay vector bundle; scroll; ruled surface Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces ACM vector bundles on scrolls | 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 Automorphisms of surfaces and higher-dimensional varieties, Topology of real algebraic varieties, Rational and ruled surfaces, \(K3\) surfaces and Enriques surfaces, Birational automorphisms, Cremona group and generalizations, Real algebraic sets Smooth complex projective rational surfaces with infinitely many real forms | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces T. Shioda, Arithmetic and geometry of Fermat curves, In: Algebraic Geometry Seminar, Singapore, 1987, World Sci. Publishing, Singapore, 1988, pp. 95-102. Automorphisms of surfaces and higher-dimensional varieties, Birational automorphisms, Cremona group and generalizations, Rational and ruled surfaces Equations of specific cubic surfaces and automorphisms. | 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; derived categories; variation of stability Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces, Algebraic moduli problems, moduli of vector bundles Wall crossing for derived categories of moduli spaces of sheaves on rational 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 pencil of curves; del Pezzo surface; Hasse principle C. Tu, W. Wang, B. Mourrain and J. Wang, \textit{Signature sequence of intersection curve of two quadrics for exact morphological classification}, preprint, available at http://arxiv.org/abs/cs/0701121. Research exposition (monographs, survey articles) pertaining to algebraic geometry, Varieties over global fields, Arithmetic ground fields for surfaces or higher-dimensional varieties, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces, Cubic and quartic Diophantine equations, Global ground fields in algebraic geometry, Arithmetic ground fields (finite, local, global) and families or fibrations Intersections of two quadrics and pencils of curves of genus 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 Fontanari, C.: Towards Bounded Negativity of Self-Intersection on General Blownup Projective Planes. Comm. Alg. 40 (2012), 1762--1765. Formal methods and deformations in algebraic geometry, Plane and space curves, Rational and ruled surfaces Towards bounded negativity of self-intersection on general blown-up projective planes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces real trigonal curves; real algebraic curves of type I; inflexion point; dessins d'enfants; real elliptic surfaces Degtyarev, A.; Itenberg, I.; Zvonilov, V., Real trigonal curves and real elliptic surfaces of type I, \textit{J. Reine Angew. Math}.,, \textbf{686}, 221-246, (2014) Topology of real algebraic varieties, Families, moduli of curves (algebraic), Dessins d'enfants theory, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations Real trigonal curves and real elliptic surfaces of type I | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces unprojection; birational transformation; minimal model; rational surface; graded R-module Rational and ruled surfaces, Other special types of modules and ideals in commutative rings Birational modifications of surfaces via unprojections | 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 Chern classes; fibrations; degenerate fibers U. PERSSON, Genus two fibration revisited, Complex algebraic varieties (Bayreuth, 1990), 133-144, Lec ture Notes in Math. 1507, Springer-Verlag, Berlin, 1992. Rational and ruled surfaces, Structure of families (Picard-Lefschetz, monodromy, etc.), Characteristic classes and numbers in differential topology Genus two fibrations revisited. A preliminary report | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces graded prime ideals; trace ring; generic matrices; regular quaternionic projective m-space; generic Clifford algebra; structure sheaves; zero cohomology; vanishing theorem Rings with polynomial identity, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Graded rings and modules (associative rings and algebras), Endomorphism rings; matrix rings, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Clifford algebras, spinors Cohomology of \({\mathbb{P}}^ m_{(2)}\) | 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 algebraic sets; equations; completely simple semigroups A. Shevlyakov, ''On disjunctions of equations over semigroups,'' arXiv:1305.6842. Free semigroups, generators and relations, word problems, Algebraic geometry over groups; equations over groups, Noncommutative algebraic geometry, Algebraic monoids On disjunctions of algebraic sets in completely simple semigroups | 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 Failla, G., Lahyane, M., Molica Bisci, G.: Rational surfaces of Kodaira type \textit{IV}\ . Boll. Unione Mat. Ital., Sezione B. (8) 10(3), 741-750 (2007) Rational and ruled surfaces Rational surfaces of Kodaira type IV | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Conic bundle; projective surface; rational singularities; ruled surface DOI: 10.1080/00927872.2012.749884 Rational and ruled surfaces, Rational and birational maps, Fibrations, degenerations in algebraic geometry On the singularities of surfaces ruled by conics | 0 |
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