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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 soluble groups; rigid groups; divisible groups; torsion-free right modules; algebraic geometry over groups; group rings; divisible closures; divisible completions N. S. Romanovskii, ''Divisible rigid groups,'' \textit{Algebra and Logic}, 47, No. 6, 426-434 (2008). Solvable groups, supersolvable groups, Derived series, central series, and generalizations for groups, Subgroup theorems; subgroup growth, Extensions, wreath products, and other compositions of groups, Noncommutative algebraic geometry, Algebraic geometry over groups; equations over groups, Group rings of infinite groups and their modules (group-theoretic aspects) Divisible rigid groups. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rational surfaces; \((-1)\)-curves; SHGH conjecture Rational and ruled surfaces An observation on \((-1)\)-curves 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 rational cuspidal curve; \(\mathbb Q\)-homology projective plane Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Rational and ruled surfaces, Singularities of surfaces or higher-dimensional varieties Rational unicuspidal curves on \(\mathbb Q\)-homology projective planes whose complements have logarithmic Kodaira dimension \(-\infty\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 normality; double covering; adjoint divisor; Horikawa surface; \(K3\) surface Rational and ruled surfaces, \(K3\) surfaces and Enriques surfaces, Surfaces of general type On the projective normality of double coverings over a rational surface | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces zero-cycles; diagonal cubic surfaces; Brauer groups; \(p\)-adic fields (Equivariant) Chow groups and rings; motives, Rational and ruled surfaces, Varieties over finite and local fields, Brauer groups of schemes Zero-cycles on diagonal cubic surfaces over \(p\)-adic fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Karmazyn, J., Quiver GIT for varieties with tilting bundles, Manuscripta Math., 154, 1-2, 91-128, (2017) Geometric invariant theory, Representations of quivers and partially ordered sets, Fine and coarse moduli spaces, Rings arising from noncommutative algebraic geometry Quiver GIT for varieties with tilting bundles | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces extremal rational log Enriques surface; canonical covering , On the complete classification of extremal log Enriques surfaces, Math. Z., to appear. \(K3\) surfaces and Enriques surfaces, Singularities of surfaces or higher-dimensional varieties, Rational and ruled surfaces, Automorphisms of surfaces and higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects) On the complete classification of extremal log Enriques surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces 0-cycles; diagonal cubic surface; Brauer-Manin pairing (Equivariant) Chow groups and rings; motives, Rational and ruled surfaces, Varieties over finite and local fields On generators of the Chow group of 0-cycles on diagonal cubic surfaces over 3-adic fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces lattices of centralisers; partially commutative groups; graph groups; right angled Artin groups; centraliser dimension Duncan A. J., Kazachkov I. V., and Remeslennikov V. N., ''Centraliser dimension of partially commutative groups,'' Geom. Dedicata, 120, No. 1, 73--97 (2006). Chains and lattices of subgroups, subnormal subgroups, Quasivarieties and varieties of groups, Noncommutative algebraic geometry, Word problems, other decision problems, connections with logic and automata (group-theoretic aspects), Decidability of theories and sets of sentences, Braid groups; Artin groups Centraliser dimension of partially commutative groups. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces endomorphism ring of the canonical module; d-dimensional local ring; Cohen-Macaulay module Yōichi Aoyama and Shiro Goto, On the endomorphism ring of the canonical module, J. Math. Kyoto Univ. 25 (1985), no. 1, 21 -- 30. Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Endomorphism rings; matrix rings, Local cohomology and algebraic geometry, Theory of modules and ideals in commutative rings On the endomorphism ring of the canonical module | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces exceptional sheaves on del Pezzo surfaces; rigid bundles S. A. Kuleshov and D. O. Orlov, ''Exceptional sheaves on del Pezzo surfaces,'' Izv. Ross. Akad. Nauk. Ser. Mat. 58(3), 53--87 (1994) [Russian Acad. Sci. Izv. Math. 44 (3), 479--513(1995)]. Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces Exceptional sheaves 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 Hirzebruch surfaces; Brill-Noether theorems; stable and globally generated sheaves; II Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces, Algebraic moduli problems, moduli of vector bundles Brill-Noether theorems and globally generated vector bundles on Hirzebruch surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Rational and ruled surfaces, Projective techniques in algebraic geometry, Actions of groups on commutative rings; invariant theory Towards the degree of the \(\mathrm{PGL}(4)\)-orbit of a cubic surface | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hopf algebra; finitely generated projective module; coassociative homomorphism; inductively defined bialgebras; semisimple bialgebra; bialgebras in endomorphism rings; comultiplication; Dedekind domain; Brauer groups; Azumaya algebras Netzsch, R.: Bialgebren in endomorphismenringen. Ph.d. thesis (1979) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Category-theoretic methods and results in associative algebras (except as in 16D90), Endomorphism rings; matrix rings, Brauer groups of schemes, Division rings and semisimple Artin rings, Projective and free modules and ideals in commutative rings Bialgebren in Endomorphismenringen | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \(R\)-equivalence; del Pezzo surface; \(C_{1}\)-field Rational and ruled surfaces, Special surfaces, Rational points Del Pezzo surfaces of degree 4 over a \(C_1\)-field | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces local moduli spaces Ballico, E.; Gasparim, E.: Vector bundles on a three-dimensional neighborhood of a ruled surface. J. pure appl. Algebra 195, No. 1, 7-19 (2005) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces, Deformations of fiber bundles Vector bundles on a three-dimensional neighborhood of a ruled surface | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces algebraic geometry over groups; coordinate groups; universal equivalences; algebraic sets; hyperbolic groups; CSA-groups; free constructions; Lyndon extensions; finitely generated groups DOI: 10.1515/JGT.2008.008 Extensions, wreath products, and other compositions of groups, Residual properties and generalizations; residually finite groups, Free nonabelian groups, Groups acting on trees, Subgroup theorems; subgroup growth, Hyperbolic groups and nonpositively curved groups, Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Noncommutative algebraic geometry Exponential extensions of groups. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Falk, M.: Resonance varieties over fields of positive characteristic, Int. math. Res. notices 3 (2007) Configurations and arrangements of linear subspaces, Combinatorial aspects of matroids and geometric lattices, Rational and ruled surfaces, Grassmannians, Schubert varieties, flag manifolds, Relations with arrangements of hyperplanes, Arrangements of points, flats, hyperplanes (aspects of discrete geometry) Resonance varieties over fields of 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 conic bundle surfaces; Henselian fields; quaternion algebras Finite-dimensional division rings, Forms over real fields, Quadratic forms over general fields, Skew fields, division rings, Algebraic functions and function fields in algebraic geometry, Rational and ruled surfaces Note on conic bundles over Henselian discrete valued fields with real closed residue field. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces normal presentation of line bundles; elliptic ruled surface; Mukai's conjecture; adjoint linear series; homogeneous coordinate ring F. J. Gallego andB. P. Purnaprajna, Normal presentation on elliptic ruled surfaces.J. Algebra 186 (1996), 597--625. Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces, Syzygies, resolutions, complexes and commutative rings, Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Normal presentation 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 symmetric monoidal category; algebra object; line object; relative scheme; octonions Noncommutative algebraic geometry, Monoidal categories, symmetric monoidal categories On the relative projective space | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Bridgeland stability; line bundle stability; Hirzebruch surfaces DOI: 10.1016/j.jpaa.2015.09.021 Rational and ruled surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Bridgeland stability 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 \(\mathcal{D}\)-modules; rigid analytic geometry; Beilinson-Bernstein localisation; locally analytic representations; \(p\)-adic Lie groups Ardakov, K., \^D-modules on rigid analytic spaces, Proceedings of International Congress of Mathematicians, 2014, III, 1-9, Kyung Moon Sa co. Ltd.: Kyung Moon Sa co. Ltd., Seoul, Korea Rigid analytic geometry, Rings arising from noncommutative algebraic geometry, Representations of Lie and linear algebraic groups over local fields, Sheaves of differential operators and their modules, \(D\)-modules \(\widetilde{\mathcal{D}}\)-modules on rigid analytic 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 Geometric invariant theory, Rational and ruled surfaces, Toric varieties, Newton polyhedra, Okounkov bodies Asymptotic Chow stability of toric 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 Klein quartic curve; line arrangements; plane curve arrangements; freeness; symbolic and ordinary powers of ideals Plane and space curves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Rational and ruled surfaces, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Rational and birational maps, Ideals and multiplicative ideal theory in commutative rings, Polynomial rings and ideals; rings of integer-valued polynomials The 21 reducible polars of Klein's quartic | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Sylvester resultant; elimination theory; implicitization; rational surface; parametrization Ariès, F.; Senoussi, R.: An implicitization algorithm for rational surfaces with no base points. J. symbolic comput. 31, 357-365 (2001) Computational aspects of algebraic surfaces, Rational and ruled surfaces An implicitization algorithm for rational surfaces with no base points | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces complement problem; affine spaces; plane curves Birational automorphisms, Cremona group and generalizations, Rational and ruled surfaces, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Automorphism groups of \(\mathbb{C}^n\) and affine manifolds Exceptional isomorphisms between complements of affine plane 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 D. Allcock, ''The moduli space of cubic threefolds,'' J. Algebraic Geom., vol. 12, iss. 2, pp. 201-223, 2003. Families, moduli, classification: algebraic theory, \(3\)-folds, Fine and coarse moduli spaces, Rational and ruled surfaces The moduli space of cubic threefolds. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Relations with noncommutative geometry, Noncommutative algebraic geometry, Zeta functions and \(L\)-functions, Enriched categories (over closed or monoidal categories) Noncommutative Riemann hypothesis | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 width; genus zero Gopakumar-Vafa invariants; birational flopping contraction; three-folds Toda, Y., \textit{non-commutative width and gopakumar-Vafa invariants}, Manuscripta Math., 148, 521-533, (2015) Minimal model program (Mori theory, extremal rays), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Rings arising from noncommutative algebraic geometry Non-commutative width and Gopakumar-Vafa invariants | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces local units; idempotents; Picard groups; rings of countably infinite matrices; rings of row-finite matrices Gene Abrams and Jeremy Haefner, Picard groups and infinite matrix rings, Trans. Amer. Math. Soc. 350 (1998), no. 7, 2737 -- 2752. Endomorphism rings; matrix rings, Picard groups, Automorphisms and endomorphisms Picard groups and infinite matrix rings | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \(G\)-scheme; 2-cocycle; semidirect product algebra; twisted group algebra; equivariant algebraic \(K\)-theory; twisted projective homogeneous scheme; full exceptional collection; equivariant motivic measure; noncommutative algebraic geometry; \(G\)-equivariant Chow motive; \(G\)-equivariant perfect complex; noncommutative Chow motives Noncommutative algebraic geometry, Group actions on varieties or schemes (quotients), Twisted and skew group rings, crossed products, Equivariant \(K\)-theory, Orbifold cohomology Equivariant noncommutative motives | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Del Pezzo Surface; Parametrization; Lie algebra De Graaf, W. A.; Pílniková, J.; Schicho, J.: Parametrizing del Pezzo surfaces of degree 8 using Lie algebras. J. symb. Comput. 44, No. 1, 1-14 (2009) Computational aspects of algebraic surfaces, Rational and ruled surfaces, Lie algebras of linear algebraic groups Parametrizing del Pezzo surfaces of degree 8 using Lie 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 rational surfaces; embeddings the blown up surface in some projective space; dimension of linear systems of plane curves; superabundant very ample divisors [GGH] A. V. Geramita, A. Gimigliano and B. Harbourne,Projectively normal but superabundant embedding of rational surfaces in projective space, J. Algebra169 (1994), 791--804 Rational and ruled surfaces, Embeddings in algebraic geometry, Projective techniques in algebraic geometry Projectively normal but superabundant embeddings of rational surfaces in projective space | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces B. Toën & G. Vezzosi, ``A non-commutative trace formula and Bloch's conductor conjecture'', in preparation 2017 Motivic cohomology; motivic homotopy theory, Noncommutative algebraic geometry Non-commutative geometry, trace formula and Bloch's conductor | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Artin-Schelter regular algebras; twisted tensor products; Ext-algebras; Nakayama automorphisms Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Graded rings and modules (associative rings and algebras), Derived categories and associative algebras, Noncommutative algebraic geometry Nakayama automorphisms of twisted tensor products | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces cone over a plane curve; ruling of a cone; space curves; complete intersections David B. Jaffe, Smooth curves on a cone which pass through its vertex, Manuscripta Math. 73 (1991), no. 2, 187 -- 205. Projective techniques in algebraic geometry, Plane and space curves, Rational and ruled surfaces, Complete intersections Smooth curves on a cone which pass through its vertex | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 Low codimension problems in algebraic geometry, Rational and ruled surfaces, Computational aspects of algebraic surfaces Exterior algebra methods for the construction of rational surfaces in the projective fourspace | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces birational geometry; minimal model; flops; flopping; tilting bundle; GIT chamber decomposition; crepant projective birational morphism; mutation; mutation functor; wall crossing; Auslander-McKay correspondence; homological MMP; derived equivalence; compound du Val singularities; maximal modification module; MM module M. Wemyss, Aspects of the homological minimal model program, preprint (2014), . Noncommutative algebraic geometry, Minimal model program (Mori theory, extremal rays) Flops and clusters in the homological minimal model programme | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 equivalences; symmetry detection; rational surface; polynomial system; linear reparameterization Rational and ruled surfaces, Rational and birational maps Projective and affine symmetries and equivalences of rational and polynomial 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 spectral curve; family of ordinary differential operators Silvio Greco and Emma Previato, Spectral curves and ruled surfaces: projective models, The Curves Seminar at Queen's, Vol. VIII (Kingston, ON, 1990/1991) Queen's Papers in Pure and Appl. Math., vol. 88, Queen's Univ., Kingston, ON, 1991, pp. Exp. F, 33. Families, moduli of curves (algebraic), Projective techniques in algebraic geometry, General theory of ordinary differential operators, Rational and ruled surfaces, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Spectral curves and ruled surfaces: Projective models | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces irreducible moduli space; semistable sheaves; ruled surface; Chern classes; polarization C. Walter, ``Irreducibility of moduli spaces of vector bundles on birationally ruled surfaces'' in Algebraic Geometry (Catania, 1993/Barcelona, 1994) , Lecture Notes in Pure and Appl. Math. 200 , Dekker, New York, 1998, 201--211. Families, moduli, classification: algebraic theory, Rational and ruled surfaces, Algebraic moduli problems, moduli of vector bundles, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Irreducibility of moduli spaces of vector bundles on birationally 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 Tate vector space; Tate object; normally ordered product; higher Adèles; higher local fields Noncommutative algebraic geometry On the normally ordered tensor product and duality for Tate objects | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Brauer-Severi schemes; matrix invariants; moduli spaces of representations of quivers; fibers; orders in central simple algebras; projective fiber bundles; trace rings of generic matrices L. Le Bruyn and G. Seelinger, Fibers of generic Brauer--Severi schemes, J. Algebra, 214 (1999), 222--234.Zbl 0932.16025 MR 1684876 and Applied Mathematics, 290, Chapman and Hall, 2008.Zbl 1131.14006 MR 2356702 Trace rings and invariant theory (associative rings and algebras), Representations of quivers and partially ordered sets, Brauer groups (algebraic aspects), Rings arising from noncommutative algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) Fibers of generic Brauer-Severi 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 cohomology ring; Yang--Baxter equation; flag variety; Grothendieck ring Kirillov, A., Maeno, T.: On some noncommutative algebras related with K-theory of flag varieties. IRMN \textbf{60}, 3753-3789. Preprint RIMS, 2005 Grassmannians, Schubert varieties, flag manifolds, Noncommutative algebraic geometry On some noncommutative algebras related to \(K\)-theory of flag varieties. 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 Cremona group; Jordan constant; conic bundle; del Pezzo surface; automorphism group Birational automorphisms, Cremona group and generalizations, Rational and ruled surfaces, Automorphisms of surfaces and higher-dimensional varieties, Finite automorphism groups of algebraic, geometric, or combinatorial structures The Jordan constant for Cremona group of rank 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 complex Stein space; affine cone; ruled surface over an elliptic curve Rational and ruled surfaces, Analytic subsets and submanifolds, Stein spaces, The Levi problem, Stein manifolds A class of counter-examples to the hypersection problem based on forcing equations | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces multiplicity-free space; invariant differential operator; Smith algebra Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Group actions on varieties or schemes (quotients), Noncommutative algebraic geometry, Rings of differential operators (associative algebraic aspects), Semisimple Lie groups and their representations, Prehomogeneous vector spaces Invariant differential operators on a class of multiplicity-free 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 vector bundle with smooth zero locus; ruled surface as zero locus; classification; ample vector bundle; Kodaira dimension Lanteri A. and Maeda H. (1997). Geometrically ruled surfaces as zero loci of ample vector bundles. Forum Math. 9: 1--15 Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces, Divisors, linear systems, invertible sheaves Geometrically ruled surfaces as zero loci of ample vector bundles | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative tori; real multiplication; theta functions; quadratic algebra Plazas, J.: Arithmetic structures on noncommutative tori with real multiplication. Int. Math. Res. Not. IMRN 2008, no. 2, Art. ID rnm147 Noncommutative algebraic geometry, Noncommutative geometry (à la Connes), Relations with noncommutative geometry, Theta series; Weil representation; theta correspondences, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Elliptic curves over global fields, Noncommutative differential geometry, Noncommutative geometry in quantum theory, Quadratic and Koszul algebras Arithmetic structures on noncommutative tori with real multiplication | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces External book reviews, Proceedings, conferences, collections, etc. pertaining to commutative algebra, Syzygies, resolutions, complexes and commutative rings, Singularities in algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Noncommutative algebraic geometry, Collections of articles of miscellaneous specific interest, Theory of modules and ideals in commutative rings Book review of: D. Eisenbud (ed.) et al., Commutative algebra and noncommutative algebraic geometry. Volume I: Expository articles, and Volume II: Research articles. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Seshadri constants; Nagata conjecture; Duminicki's criterion Eckl, Thomas: An asymptotic version of dumnicki's algorithm for linear systems in CP2, Geom. dedicata 137, 149-162 (2008) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces An asymptotic version of Dumnicki's algorithm for linear systems in \({\mathbb{CP}^2}\) | 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 cubic surface; discriminant polynomial; fiber bundle; incidence variety; moduli space; rational cohomology; simplicial resolution; universal family; Weyl group Discriminantal varieties and configuration spaces in algebraic topology, Families, moduli, classification: algebraic theory, Rational and ruled surfaces, Hypersurfaces and algebraic geometry Cohomology of the universal smooth cubic surface | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces ruled surfaces Rational and ruled surfaces Solution of problem 87. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Differential operators; right ideal classes; Calogero-Moser spaces Berest, Yu.; Wilson, G.: Differential operators on an affine curve: ideal classes and Picard groups, Quart. J. Math. Oxford 62, No. 1, 7-19 (2011) Relationships between algebraic curves and integrable systems, Rings of differential operators (associative algebraic aspects), Rings arising from noncommutative algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Picard groups, Vector bundles on curves and their moduli Differential operators on an affine curve: ideal classes and Picard groups | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Manin's conjecture; del Pezzo surface; Peyre constant; volume; polytope; calculation Derenthal, U.; Elsenhans, A.; Jahnel, J., On the factor alpha in Peyre's constant, Math. Comput., 83, 965-977, (2014) Rational points, Counting solutions of Diophantine equations, Rational and ruled surfaces, Polyhedra and polytopes; regular figures, division of spaces On the factor alpha in Peyre's constant | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 double singularities; singularity type; Dynkin types; isomorphism classes Ye, Q. On Gorenstein log del Pezzo surfaces,Japan. J. Math. (N.S.) 28(1), 87--136, (2002). Rational and ruled surfaces, Complex surface and hypersurface singularities, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Singularities of surfaces or higher-dimensional varieties On Gorenstein log 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 weighted projective planes; affine rulings Daigle, D.; Russell, P.: On weighted projective planes and their affine rulings. Osaka J. Math 38, 101-150 (2001) Affine fibrations, Rational and ruled surfaces On weighted projective planes and their affine rulings | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces cluster algebras; exchange patterns; Laurent phenomenon; Grassmannians; simply connected algebraic groups S. Fomin and A. Zelevinsky, \textit{Cluster algebras I: Foundations}, \textit{J. Am. Math. Soc.}\textbf{15} (2002) 497 [math/0104151]. Group rings, Cluster algebras, Endomorphism rings; matrix rings, Simple, semisimple, reductive (super)algebras, Representation theory for linear algebraic groups, Grassmannians, Schubert varieties, flag manifolds Cluster algebras. I: Foundations | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \(\mathbb{Z}^n_2\)-Lie group; \(\mathbb{Z}^n_2\)-manifold; \(\mathbb{Z}^n_2\)-Grassmannian Supervarieties, Supermanifolds and graded manifolds, Noncommutative algebraic geometry On the construction of \(\mathbb{Z}^n_2\)-Grassmannians as homogeneous \(\mathbb{Z}^n_2\)-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 Makar-Limanov invariant; \(\mathbb Q\)-homology plane; additive group actions Masuda, K.; Miyanishi, M., The additive group actions on \(\mathbb{Q}\)-homology planes, Ann. Inst. Fourier (Grenoble), 53, 2, 429-464, (2003) Group actions on affine varieties, Group actions on varieties or schemes (quotients), Rational and ruled surfaces The additive group actions on \(\mathbb Q\)-homology 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 quantum matrices; quantum Grassmannians; quantum Schubert varieties; quantum determinantal rings; straightening laws Lenagan, T. H.; Rigal, L., Quantum graded algebras with a straightening law and the \textit{AS}-Cohen-Macaulay property for quantum determinantal rings and quantum Grassmannians, J. Algebra, 301, 2, 670-702, (2006) Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Quadratic and Koszul algebras, Grassmannians, Schubert varieties, flag manifolds Quantum graded algebras with a straightening law and the AS-Cohen-Macaulay property for quantum determinantal rings and quantum Grassmannians. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces polynomial identity; codimension growth General theory of nonassociative rings and algebras, Identities, free Lie (super)algebras, Leibniz algebras, Free algebras, Noncommutative algebraic geometry On almost nilpotent varieties with integer PI-exponent | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces volume; accumulation points; log canonical surfaces Surfaces of general type, Rational and ruled surfaces, Classification of affine varieties On accumulation points of volumes of log surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative k-algebras; deformation theory; moduli Noncommutative algebraic geometry, Fine and coarse moduli spaces, Stacks and moduli problems, Noncommutative local and semilocal rings, perfect rings Geometry of noncommutative \(k\)-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 surface scroll; ruled surface; quadric hypersurface; postulation Alzati, A.; Bertolini, M.; Besana, G. M.: Two dimensional scrolls contained in quadric cones in P5, Abh. math. Sem. univ. Hamburg 74, 57-75 (2004) Rational and ruled surfaces, Low codimension problems in algebraic geometry, Projective techniques in algebraic geometry Two dimensional scrolls contained in quadric cones in \(\mathbb P^5\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Annibale Comessatti; rational surfaces; classification of real surfaces Ciliberto, C.; Pedrini, C.: Annibale Comessatti and real algebraic geometry. Rend. del circ. Mat. di Palermo, No. Suppl. 36, 71-102 (1994) History of algebraic geometry, History of mathematics in the 20th century, Topology of real algebraic varieties, Rational and ruled surfaces Annibale Comessatti and real algebraic geometry | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces algebraic surface; automorphism group; quotient Trepalin, A., Quotients of conic bundles, Transform. Groups, 21, 1, 275-295, (2016) Rational and ruled surfaces, Automorphisms of surfaces and higher-dimensional varieties Quotients of conic bundles | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces modified gravity; noncommutative cosmology; slow-roll inflation; mixmaster universe; C*-algebra; random geometries; quantum gravity; fractals Marcolli, M.: Noncommutative Cosmology. World Scientific (2018) Research exposition (monographs, survey articles) pertaining to quantum theory, Relativistic cosmology, Renormalization group methods applied to problems in quantum field theory, Methods of noncommutative geometry in general relativity, Noncommutative geometry (à la Connes), Noncommutative geometry in quantum theory, Physics, Noncommutative algebraic geometry, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations, Conformal densities and Hausdorff dimension for holomorphic dynamical systems, Quantization of the gravitational field, Applications of statistics to physics Noncommutative cosmology | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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; rational surfaces; abelian surfaces; Halphen cubics; Hesse arrangement Divisors, linear systems, invertible sheaves, Rational and birational maps, Elliptic curves, Rational and ruled surfaces, Subvarieties of abelian varieties The Halphen cubics of order 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 quantum groups; quantized algebras; deformations; spectra; completely prime ideals; multi-parameter quantum Schubert cell algebras Yakimov, M., Spectra and catenarity of multiparameter quantum Schubert cells, \textit{Glasgow Math. J.}, 55A, 169-194, (2013) Ring-theoretic aspects of quantum groups, Quantum groups (quantized enveloping algebras) and related deformations, Grassmannians, Schubert varieties, flag manifolds, Rings arising from noncommutative algebraic geometry, Ideals in associative algebras Spectra and catenarity of multi-parameter quantum Schubert cells. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces regular algebras; Noetherian Artin-Schelter regular connected graded algebras; global dimension; AS regular algebras; quantum projective space D.-M. Lu, J. H. Palmieri, Q.-S. Wu, and J. J. Zhang, ''Regular algebras of dimension 4 and their A -Extalgebras,'' Duke Math. J. 137(3), 537--584 (2007). Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Graded rings and modules (associative rings and algebras), Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting), Ring-theoretic aspects of quantum groups, Noncommutative algebraic geometry, Homological dimension in associative algebras Regular algebras of dimension 4 and their \(A_\infty\)-Ext-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 del Pezzo surface; homogeneous space; Lie algebra Serganova V., Skorobogatov A.: Del Pezzo surfaces and representation theory. Algebra Number Theory 1, 393--419 (2007) Rational and ruled surfaces, Exceptional (super)algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Del Pezzo surfaces and representation theory | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces equations over groups; solutions to systems of equations; free groups; elementary theories; elementary sets; positive sentences; quantifier elimination; Makanin-Razborov diagrams; limit groups; finitely generated groups; first order theories; Tarski problems; elementary equivalences Z. Sela, Diophantine geometry over groups. VI. The elementary theory of a free group, Geom. Funct. Anal. 16 (2006), no. 3, 707-730. 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, Hyperbolic groups and nonpositively curved groups Diophantine geometry over groups. VI: The elementary theory of a free 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 log Del Pezzo surfaces; Picard number; toric varieties Toric varieties, Newton polyhedra, Okounkov bodies, Rational and ruled surfaces, Computational aspects of algebraic surfaces, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) A boundedness result for toric log 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 NC-smooth thickening; GAGA; Fourier--Mukai transforms Polishchuk, A.; Tu, J., DG-resolutions of NC-smooth thickenings and NC-Fourier-Mukai transforms, Math. Ann., 360, 79-156, (2014) Noncommutative algebraic geometry, de Rham cohomology and algebraic geometry DG-resolutions of NC-smooth thickenings and NC-Fourier-Mukai transforms | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symbolic power; 0-dimensional schemes; initial degree Dumnicki, M.; Szemberg, T.; Tutaj-Gasińska, H., Symbolic powers of planar point configurations, J. Pure Appl. Algebra, 217, 1026-1036, (2013) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Configurations and arrangements of linear subspaces, Ideals and multiplicative ideal theory in commutative rings Symbolic powers of planar point 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 Minimal model program (Mori theory, extremal rays), Positive characteristic ground fields in algebraic geometry, Singularities of curves, local rings, Singularities of surfaces or higher-dimensional varieties, Rational and ruled surfaces, \(3\)-folds, Fano varieties Del Pezzo surfaces and Mori fiber spaces 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 noncommutative arithmetic spaces; functor of points; Arakelov height; arithmetic curves Arithmetic varieties and schemes; Arakelov theory; heights, Noncommutative algebraic geometry Functor of points and height functions for noncommutative Arakelov 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 Châtelet; Chow; local fields Local ground fields in algebraic geometry, Finite ground fields in algebraic geometry, Rational and ruled surfaces, Algebraic number theory: local fields Chow groups of châtelet surfaces over dyadic fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces ruled surfaces; quartic surfaces Rational and ruled surfaces On a family of ruled surfaces of degree four. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic tori; quantum Weyl algebras; projective modules; Morita equivalences; Picard groups; double affine Hecke algebras Berest, Yu.; Ramadoss, A.; Tang, X., The Picard group of a noncommutative algebraic torus, J. noncommut. geom., 7, 2, 335-356, (2013), arXiv:10103779 [math.QA] Rings of differential operators (associative algebraic aspects), Picard groups, Rings arising from noncommutative algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Vector bundles on curves and their moduli, Deformations of associative rings The Picard group of a noncommutative algebraic torus. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces proper map; dominating polynomial map; uniruled hypersurface Z. Jelonek, ''The set of points at which a polynomial map is not proper,'' Ann. Polon. Math., 58, 259--266 (1993). Rational and birational maps, Proper holomorphic mappings, finiteness theorems, Polynomial rings and ideals; rings of integer-valued polynomials, Rational and ruled surfaces, Hypersurfaces and algebraic geometry The set of points at which a polynomial map is not proper | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces birationally rigid; del Pezzo fibration; Mori fibre space Grinenko M.\ M., Fibrations into del Pezzo surfaces, Uspekhi Mat. Nauk 61 (2006), no. 2(368), 67-112. Rationality questions in algebraic geometry, Birational automorphisms, Cremona group and generalizations, Minimal model program (Mori theory, extremal rays), Rational and ruled surfaces, Fano varieties, \(3\)-folds Fibrations into 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 Calogero-Moser spaces; \(\mathcal D\)-modules; perverse coherent sheaves; Koszul duality D. Ben-Zvi, T. Nevins, Perverse bundles and Calogero--Moser spaces, Compositio Math. 144 (2008), no. 6, 1403--1428. Noncommutative algebraic geometry, Rings of differential operators (associative algebraic aspects), Homological methods in associative algebras Perverse bundles and Calogero-Moser 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 rational surface; lines; almost general position; singular locus Rational and ruled surfaces Degenerate del Pezzo surfaces of degrees \(d\in\{5,6,7\}\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Azumaya algebras; noncommutative motives; dg categories; noncommutative algebraic geometry; algebraic \(K\)-theory; cyclic homology; nilinvariance G. Tabuada and M. Van den Bergh, Noncommutative motives of Azumaya algebras, J. Inst. Math. Jussieu 14 (2015), no. 2, 379-403. Noncommutative algebraic geometry, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Enriched categories (over closed or monoidal categories), \(K\)-theory and homology; cyclic homology and cohomology, \(K\)-theory of schemes Noncommutative motives of Azumaya 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 classification of quotient space of projective K3 surface; involution; rational surfaces with quotient singularities D.-Q. Zhang, Quotients of \?3 surfaces modulo involutions, Japan. J. Math. (N.S.) 24 (1998), no. 2, 335 -- 366. \(K3\) surfaces and Enriques surfaces, Group actions on varieties or schemes (quotients), Families, moduli, classification: algebraic theory, Rational and ruled surfaces Quotients of K3 surfaces modulo involutions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces differential graded categories; triangulated categories; derived noncommutative schemes; finite-dimensional algebras; geometric realizations; noncommutative algebraic geometry; quasi-coherent sheaves; homological algebra; perfect complexes; unbounded derived category; enough injectives; classical generator; homotopy category; enhanced category; noncommutative scheme; noncommutative derived scheme; compactification; resolution of singularities; Serre functor; geometric realization; pure geometric realization; phantoms; quasi-phantoms; Krull-Schmidt partners Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.), Noncommutative algebraic geometry, Differential graded algebras and applications (associative algebraic aspects), Derived categories, triangulated categories, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Chain complexes (category-theoretic aspects), dg categories Derived noncommutative schemes, geometric realizations, and finite dimensional 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 log del Pezzo surface; Cremona group; birational automorphism Belousov, G, Log del Pezzo surfaces with simple automorphism groups, Proc. Edinb. Math. Soc., 58, 33-52, (2015) Automorphisms of surfaces and higher-dimensional varieties, Rational and ruled surfaces, Fano varieties Log del Pezzo surfaces with simple automorphism groups | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Nullstellensatz; free algebra; rational identity; division ring; skew field; spherical isometry; non commutative unitary group; positivstellensatz; real algebraic geometry; free analysis Klep, I.; Vinnikov, V.; Volčič, J., Null- and positivstellensätze for rationally resolvable ideals Noncommutative algebraic geometry, Real algebra, Other kinds of identities (generalized polynomial, rational, involution), Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Real algebraic sets Null- and positivstellensätze for rationally resolvable ideals | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces incidence scrolls; directrix curve Rational and ruled surfaces, Arithmetic ground fields for curves, Plane and space curves Another classification of incidence 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 ruled surface; real algebraic surface Lawson Jr. H.B., Michelsohn, M.-L.: Spin geometry. de Princeton Mathematical Series, vol. 38. Princeton University Press, Princeton (1989) Topology of real algebraic varieties, Rational and ruled surfaces, Real-analytic manifolds, real-analytic spaces, Deformations of special (e.g., CR) structures Real structures on minimal 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 orders; semisimple algebras; Arakelov theory; arithmetic curves; heights Noncommutative algebraic geometry, Heights, Arithmetic varieties and schemes; Arakelov theory; heights Arakelov theory of noncommutative arithmetic 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 reflection groups; hyperplane arrangements; maximal Cohen-Macaulay modules; matrix factorizations; noncommutative desingularization McKay correspondence, Cohen-Macaulay modules, Global theory and resolution of singularities (algebro-geometric aspects), Noncommutative algebraic geometry A McKay correspondence for reflection groups | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces twistor fibration; dimension algebraic varieties; stability; discriminant locus of cones Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Rational and ruled surfaces, Topology of real algebraic varieties, Twistor theory, double fibrations (complex-analytic aspects), Twistor methods in differential geometry Three topological results on the twistor discriminant locus in the 4-sphere | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces genus 2-fibrations; surfaces of general type; bicanonical morphisms; deformations; finite morphisms; moduli Surfaces of general type, Fibrations, degenerations in algebraic geometry, Varieties and morphisms, Formal methods and deformations in algebraic geometry, Families, moduli, classification: algebraic theory, Rational and ruled surfaces Deformations of bicanonical morphisms of genus 2-fibrations | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces The MWL-algorithms for constructing cubic surfaces with preassigned 27 lines. 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 derived category; non-commutative algebra; tilting generator; derived Morita theory; Grassmann manifold Toda, Y.; Uehara, H., \textit{tilting generators via ample line bundles}, Adv. Math., 223, 1-29, (2010) Noncommutative algebraic geometry Tilting generators via ample line bundles | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces positivity; ampleness; very ampleness; \(k\)-very ampleness; blow-ups; curves; rational surfaces Embeddings in algebraic geometry, Divisors, linear systems, invertible sheaves, Plane and space curves, Rational and ruled surfaces Positivity of line bundles on special blow ups of \(\mathbb{P}^2\) | 0 |
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