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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 Cherednik algebra; vector bundles; factorization; Calogero-Moser space; Etingof-Ginzburg sheaf Bellamy G.: Factorization of the Etingof--Ginzburg bundle on generalized Calogero--Moser spaces. J. Algebra. 321, 338--344 (2009) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Noncommutative algebraic geometry Factorization in generalized 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 sets of solutions; equations over free groups; elementary sets; elementary theories; finitely generated groups; low-dimensional topology; Gromov hyperbolic groups Z. Sela Diophantine geometry over groups X: The elementary theory of free products of groups Free nonabelian groups, Basic properties of first-order languages and structures, Model-theoretic algebra, Applications of logic to group theory, Noncommutative algebraic geometry, Generators, relations, and presentations of groups, Geometric group theory, Hyperbolic groups and nonpositively curved groups, Topological methods in group theory Diophantine geometry over groups and the elementary theory of free and hyperbolic 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 elementary transformation; elliptic soliton; Hitchin system; residue section; ruled surface; tangential cover Divisors, linear systems, invertible sheaves, Vector bundles on curves and their moduli, Relationships between algebraic curves and integrable systems, Rational and ruled surfaces, Sheaves and cohomology of sections of holomorphic vector bundles, general results Tangency and a ruled surface associated with a Hitchin system | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces M. Casanellas and R. M. Miró-Roig, Gorenstein liaison of divisors on standard determinantal schemes and on rational normal scrolls, J. Pure Appl. Algebra 164 (2001), no. 3, 325 -- 343. Linkage, Determinantal varieties, Rational and ruled surfaces Gorenstein liaison on divisors on standard determinantal schemes and on rational normal 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 Log del Pezzo; quotient singularities; weighted projective space Kapustka, M.: Relation between equations of Mukai varieties. arXiv:1005.5557 Rational and ruled surfaces, \(K3\) surfaces and Enriques surfaces, Families, moduli, classification: algebraic theory Equations of log del Pezzo surfaces of index \(\leq 2\) | 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 invariant theory; Frobenius summand; FFRT; Grassmannian; tilting bundle; noncommutative resolution Grassmannians, Schubert varieties, flag manifolds, Actions of groups on commutative rings; invariant theory, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Positive characteristic ground fields in algebraic geometry, Modifications; resolution of singularities (complex-analytic aspects), Noncommutative algebraic geometry The Frobenius morphism in invariant 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 quaternion algebra; Shimura surface Modular and Shimura varieties, Quaternion and other division algebras: arithmetic, zeta functions, Families, moduli, classification: algebraic theory, Noncommutative algebraic geometry Algebraic surfaces derived from unit groups of quaternion 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 non-abelian group action; moduli of abelian varieties; adjoint group schemes Alexeev, V.; Brion, M., \textit{stable reductive varieties I: affine varieties}, Invent. Math., 157, 227-274, (2004) Noncommutative algebraic geometry, Geometric invariant theory, Group actions on varieties or schemes (quotients), Toric varieties, Newton polyhedra, Okounkov bodies Stable reductive varieties. I: Affine varieties | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces affine lines on logarithmic homology planes; linearizable \(\mathbb{C}^*\)- action Gurjar, R. V.; Miyanishi, M., Affine lines on logarithmic \({\mathbf Q}\)-homology planes, Math. Ann., 294, 3, 463-482, (1992) Rational and ruled surfaces, Special algebraic curves and curves of low genus, Group actions on varieties or schemes (quotients), Linear algebraic groups over the reals, the complexes, the quaternions Affine lines on logarithmic \(Q\)-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 rational surface; ample canonical divisor; cyclic singularity; \(\mathbb{Q}\)-homology projective plane 10.1090/S0002-9939-2011-11038-4 Rational and ruled surfaces, Singularities of surfaces or higher-dimensional varieties Construction of singular rational surfaces of Picard number one with ample canonical divisor | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces 2-ruled surfaces; rational base curve Philippe Ellia and Gianni Sacchiero, Smooth surfaces of \?\(^{4}\) ruled in conics, Algebraic geometry (Catania, 1993/Barcelona, 1994) Lecture Notes in Pure and Appl. Math., vol. 200, Dekker, New York, 1998, pp. 49 -- 62. Rational and ruled surfaces Smooth surfaces of \(\mathbb{P}^4\) ruled in conics | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces topological index; hyperelliptic fibration Matsusaka S.: Some numerical invariants of hyperelliptic fibrations. J. Math. Kyoto Univ. 30, 33--57 (1990) Rational and ruled surfaces, Characteristic classes and numbers in differential topology, Structure of families (Picard-Lefschetz, monodromy, etc.), Topological properties in algebraic geometry Some numerical invariants of hyperelliptic 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 Enumerative problems (combinatorial problems) in algebraic geometry, Real algebraic sets, Rational and ruled surfaces, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) Erratum to: ``Welschinger invariants of real del Pezzo surfaces of degree \(\geq2\)'' | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 On certain fibred 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 locally noetherian scheme; prelocalizing subcategory; localizing subcategory; closed subcategory; local filter Kanda, R., Classification of categorical subspaces of locally Noetherian schemes, Doc. Math., 20, 1403-1465, (2015) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Module categories in associative algebras, Noncommutative algebraic geometry, Structure, classification theorems for modules and ideals in commutative rings Classification of categorical subspaces of locally noetherian 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 Nagata conjecture; SHGH conjecture; Seshadri constants; monomial valuations; rational surfaces Dumnicki, Marcin; Harbourne, Brian; Küronya, Alex; Roé, Joaquim; Szemberg, Tomasz, Very general monomial valuations of \(\mathbb{P}^2\) and a Nagata type conjecture, Comm. Anal. Geom., 25, 1, 125-161, (2017) Divisors, linear systems, invertible sheaves, Valuations and their generalizations for commutative rings, Rational and ruled surfaces Very general monomial valuations of \(\mathbb{P}^2\) and a Nagata-type conjecture | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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; real lines; enumerative geometry Classical problems, Schubert calculus, Rational and ruled surfaces All lines on a smooth cubic surface in terms of three skew lines | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces algebraic 2-vector bundles on ruled surfaces; fixed numerical Chern classes Brînzănescu, V.: Algebraic 2-vector bundles on ruled surfaces. Ann. Univ. Ferrara Sez. VII Sci. 37, 55--64 (1991) Rational and ruled surfaces, Characteristic classes and numbers in differential topology, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Algebraic 2-vector bundles on 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 del Pezzo surface; Gosset polytope; Picard group; Steiner system J. -H. Lee: Configurations of lines in del Pezzo surfaces with Gosset polytopes. Trans. Amer. Math. Soc. 366 (2014), 4939--4967. Rational and ruled surfaces, Polyhedra and polytopes; regular figures, division of spaces, Projective and enumerative algebraic geometry, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) Configurations of lines in del Pezzo surfaces with Gosset polytopes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Artamkin, Stable bundles on minimal rational surfaces and the Cremona group, Dokl. Math. 66 (1) pp 66-- (2002) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic moduli problems, moduli of vector bundles, Birational automorphisms, Cremona group and generalizations, Rational and ruled surfaces Stable bundles on minimal rational surfaces and the Cremona group | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative torus; Leibniz quantum space; compact metric space; regular representation; \(C^*\)-algebra Latrémolière, F., Curved noncommutative tori as Leibniz compact quantum metric spaces, J. Math. Phys., 56, 12, (2015) Noncommutative algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Compact (locally compact) metric spaces, Noncommutative geometry in quantum theory, Theory of matrix inversion and generalized inverses Curved noncommutative tori as Leibniz quantum compact metric 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 Del Pezzo surfaces; degree 4; families Brendan Hassett, Andrew Kresch & Yuri Tschinkel, ``On the moduli of degree 4 del Pezzo surfaces.'', , 2013 Stacks and moduli problems, Rational and ruled surfaces, Heights On the moduli of degree 4 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 derived category; non-commutative crepant resolution; flop; tilting bundle Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Noncommutative algebraic geometry On the Abuaf-Ueda flop via non-commutative crepant resolutions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces ample polar cylinder; generic flexibility; flexibility; transversality; \(H\)-completeness Group actions on affine varieties, Rational and ruled surfaces Generic flexibility of affine cones over del Pezzo surfaces of degree \(2\) | 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 Research exposition (monographs, survey articles) pertaining to algebraic geometry, Noncommutative algebraic geometry, Elliptic curves 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 singularity theory Keilen T., Comm. in Algebra 33 pp 455-- (2005) Singularities of curves, local rings, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Hypersurfaces and algebraic geometry Irreducibility of equisingular families of curves --- improved conditions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quadric surface; bihomogeneous polynomial; curve in a quadric surface Projective techniques in algebraic geometry, Plane and space curves, Rational and ruled surfaces Curves on a quadric surface over \(\overline{\mathbb {F}}_p\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic geometry; triangulated categories; tilting complexes; Serre functors; quiver algebras Minamoto, H, Ampleness of two-sided tilting complexes, Int. Math. Res. Not. IMRN, 2012, 67-101, (2012) Noncommutative algebraic geometry, Representations of quivers and partially ordered sets Ampleness of two-sided tilting complexes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Voevodsky's nilpotence conjecture; noncommutative motives; noncommutative algebraic geometry; derived category; cubic fourfolds; Gushel-Mukai fourfolds; noncommutative \(K3\) surfaces Noncommutative algebraic geometry, (Equivariant) Chow groups and rings; motives, Motivic cohomology; motivic homotopy theory, \(K3\) surfaces and Enriques surfaces, \(4\)-folds Voevodsky's conjecture for cubic fourfolds and Gushel-Mukai fourfolds via noncommutative \(K3\) surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces deformations of complex tori; line bundles; cohomology Holomorphic bundles and generalizations, Deformations of complex structures, Noncommutative algebraic geometry Cohomology groups of deformations of line bundles on complex tori | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces automorphisms of free algebras; tame automorphisms; wild automorphisms; Anick automorphism; free metabelian algebras; Jacobian matrix; elementary matrices; polynomial algebras Umirbaev, U., The anick automorphism of free associative algebras is wild, \textit{J. Reine Angew. Math.}, 605, 165-178, (2007) Automorphisms and endomorphisms, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Identities other than those of matrices over commutative rings, Polynomial rings and ideals; rings of integer-valued polynomials, Birational automorphisms, Cremona group and generalizations, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Jacobian problem The Anick automorphism of free associative 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 double covers; basepoint-free pencils Luis Fuentes García, Pencils on double coverings of curves, Arch. Math. (Basel) 92 (2009), no. 1, 35 -- 43. Special divisors on curves (gonality, Brill-Noether theory), Coverings of curves, fundamental group, Rational and ruled surfaces Pencils on double coverings of curves | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Rational and ruled surfaces, Rationality questions in algebraic geometry, Rational points On cubic surfaces with two isolated double points | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Divisors, linear systems, invertible sheaves, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.), Syzygies, resolutions, complexes and commutative rings, Rational and ruled surfaces Erratum to: Classifying Hilbert functions of fat point subschemes in \(\mathbb P^{2}\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces finite algebras; Morita equivalence; stratified equivalence. Module categories in associative algebras, Representations of orders, lattices, algebras over commutative rings, Hecke algebras and their representations, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Noncommutative algebraic geometry, Research exposition (monographs, survey articles) pertaining to associative rings and algebras Morita equivalence for \(k\)-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 branched coverings; normal surface singularities Complex surface and hypersurface singularities, Singularities in algebraic geometry, Coverings in algebraic geometry, Local complex singularities, Rational and ruled surfaces Ruled surfaces and generic coverings | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative algebraic geometry; Brown-Gersten-Quillen spectral sequence; fully bounded noetherian ring \(K\)-theory in geometry, Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Algebraic \(K\)-theory of spaces, Computations of higher \(K\)-theory of rings, Spectral sequences, hypercohomology The BGQ spectral sequence for noncommutative 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; rational curve; orthogonal Lie algebra; irreducible representation; root lattice Rational and ruled surfaces, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Configurations of curves on rational surfaces and representations of orthogonal 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 torsion class; fg topology; triangulated category; localization; thick subcategory Grigory Garkusha and Mike Prest, Torsion classes of finite type and spectra, \?-theory and noncommutative geometry, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2008, pp. 393 -- 412. Relevant commutative algebra, Noncommutative algebraic geometry Torsion classes of finite type and spectra | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces S. Burgdorf, I. Klep, and J. Povh, \textit{Optimization of Polynomials in Non-Commuting Variables}, SpringerBriefs Math., Springer, New York, 2016. Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Computational aspects of associative rings (general theory), Symbolic computation and algebraic computation, Semidefinite programming, Nonconvex programming, global optimization, Semialgebraic sets and related spaces Optimization of polynomials in non-commuting variables | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Riccati foliation; isotrivial fibration; multiple fiber; fundamental group; rational surface Fibrations, degenerations in algebraic geometry, Homotopy theory and fundamental groups in algebraic geometry, Rational and ruled surfaces, Singularities of holomorphic vector fields and foliations, Dynamical aspects of holomorphic foliations and vector fields A counterexample to Gurjar-Zhang's conjectures | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hilbert-Chow morphism; Hilbert schemes; linear representations; divided powers F. Galluzzi, F. Vaccarino, Hilbert-Chow morphism for non-commutative Hilbert schemes and moduli spaces of linear representations. \textit{Algebr. Represent. Theory}\textbf{13} (2010), 491-509. MR2660858 Zbl 1203.14004 Schemes and morphisms, Parametrization (Chow and Hilbert schemes), Representation theory of associative rings and algebras, Noncommutative algebraic geometry Hilbert-Chow morphism for non commutative Hilbert schemes and moduli spaces of linear representations | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces idempotent semiring; max-plus algebra; tropical algebraic geometry; algebraic sets and com-sets; polynomial ideals; Nullstellensatz Izhakian, Z.: Tropical algebraic, sets ideals and an algebraic nullstensatz, Internat. J. Algebra comput. 18, No. n^\circ 6, 1067-1098 (2008) Noncommutative algebraic geometry, Semirings, Ideals in associative algebras Tropical algebraic sets, ideals and an algebraic Nullstellensatz | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces conformal geometric algebra; Darboux Dupin cyclide; quadric surface; double conformal/Darboux cyclide geometric algebra; Clifford geometric algebra Easter, R.B., Hitzer, E.: \textit{Double conformal space-time algebra}, AIP Conference Proceedings, vol. 1798, AIP Publishing, p. 020066 (2017) Clifford algebras, spinors, Surfaces in Euclidean and related spaces, Euclidean analytic geometry, General theory of distance geometry, Rational and ruled surfaces Double conformal geometric algebra | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces vector bundle; ACM vector bundle; arithmetically Cohen-Macaulay vector bundle; blowing up of the plane Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces Rank 2 arithmetically Cohen-Macaulay vector bundles on blowing ups of the plane | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces representation theory; noncommutative deformation theory Formal methods and deformations in algebraic geometry, Noncommutative algebraic geometry The algebra of observables in noncommutative deformation 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 minimal free resolution; rational normal surface scroll; divisor Syzygies, resolutions, complexes and commutative rings, Rational and ruled surfaces, Projective techniques in algebraic geometry On curves lying on a rational normal surface scroll | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 free resolution of a canonically embedded curve; surface of general type; syzygies; fibration of curves; slope; Horikawa index; Clifford index K. Konno, Clifford index and the slope of fibered surfaces, J. Algebraic Geom. 8 (1999), no. 2, 207-220. Fibrations, degenerations in algebraic geometry, Rational and ruled surfaces, Special algebraic curves and curves of low genus, Projective techniques in algebraic geometry Clifford index and the slope of fibered surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces ruled surface; double cover; Brauer group Creutz, B., Viray, B.: On Brauer groups of double covers of ruled surfaces. Math. Ann. (2014). 10.1007/s00208-014-1153-0 Brauer groups of schemes, Rational and ruled surfaces, Rational points On Brauer groups of double covers of ruled surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Study quadric; Darboux cyclide, doubly ruled quadric Differential geometric aspects in kinematics, Surfaces in Euclidean and related spaces, Kinematics of a rigid body, Rational and ruled surfaces Kinematic generation of Darboux cyclides | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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, Low codimension problems in algebraic geometry Construction of rational surfaces of degree 12 in 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 noncommutative Hodge structures; deformation quantization; matrix factorizations Noncommutative algebraic geometry, Variation of Hodge structures (algebro-geometric aspects), \(A_{\infty}\)-categories, relations with homological mirror symmetry, Period matrices, variation of Hodge structure; degenerations Categorical Saito theory. I: A comparison result | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Fano; del Pezzo; Kähler-Einstein Cheltsov, I.; Kosta, D., Computing \({\alpha}\)-invariants of singular del Pezzo surfaces, J. Geom. Anal., 24, 798-842, (2014) Fano varieties, Rational and ruled surfaces Computing \(\alpha\)-invariants of singular 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 noncommutative formal power series; language; zeta function; algebraic function C. Kassel and C. Reutenauer, Complete determination of the zeta function of the Hilbert scheme of n points on a two-dimensional torus, \textit{Ramanujan J.}, to appear. Noncommutative algebraic geometry, Exact enumeration problems, generating functions, Algebraic theory of languages and automata, Combinatorics on words, Algebraic functions and function fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Algebraicity of the zeta function associated to a matrix over a free group algebra | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces differential geometry; algebraic geometry; toric varieties Katzarkov, L., Lupercio, E., Meersseman, L., Verjovsky, A.: The definition of a non-commutative toric variety. In: Tillmann, U., Galatius, S., Sinha, D. (eds.) Algebraic Topology: Applications and New Directions. Contemporary Mathematics, vol. 620. AMS pp. 223-250 (2014) Noncommutative algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Algebraic moduli of abelian varieties, classification, Combinatorics and topology in relation with holomorphic dynamical systems The definition of a non-commutative toric variety | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative deformation theory; gauge group; moduli suite; algebraic physics; noncommutative parameters; local artinian noncommutative algebra Noncommutative algebraic geometry, Deformations of singularities, Local deformation theory, Artin approximation, etc., Formal methods and deformations in algebraic geometry Noncommutative deformations of thick 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 families of rational surfaces; birational maps; automorphisms; positive entropy Déserti, J; Grivaux, J, Automorphisms of rational surfaces with positive entropy, Indiana Univ. Math. J., 60, 1589-1622, (2011) Birational automorphisms, Cremona group and generalizations, Topological entropy, Complex spaces with a group of automorphisms, Rational and ruled surfaces, Automorphisms of surfaces and higher-dimensional varieties, Dynamical systems over complex numbers Automorphisms of rational surfaces with positive entropy | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Proceedings, conferences, collections, etc. pertaining to \(K\)-theory, Proceedings, conferences, collections, etc. pertaining to global analysis, Noncommutative algebraic geometry \(K\)-theory and noncommutative geometry. Proceedings of the ICM 2006 satellite conference, Valladolid, Spain, August 31--September 6, 2006 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces geometry; cubic surface; finite field; counting Combinatorial aspects of finite geometries, Exact enumeration problems, generating functions, Group actions on combinatorial structures, Rational and birational maps, Rational and ruled surfaces, Other finite nonlinear geometries The number of cubic surfaces with 27 lines over a finite field | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Fibrations, degenerations in algebraic geometry, Rational and ruled surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rationality questions in algebraic geometry, Rational and unirational varieties, Rational and birational maps, Special surfaces, Quadratic spaces; Clifford algebras Involution surface bundles over 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 non-commutative algebraic variety; matrix polynomial algebra; deformations Noncommutative algebraic geometry, Formal methods and deformations in algebraic geometry Noncommutative algebraic varieties | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces resolutions; minimal contraction of a ruled surface; index of non-rational numerical Del Pezzo surfaces; Moishezon surface Fujisawa T.: On non-rational numerical del Pezzo surfaces. Osaka J. Math. 32, 613--636 (1995) Rational and ruled surfaces, Compact complex surfaces On non-rational numerical 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 bilocalization; categorical resolution; Königs resolution; derived categories; minors; non-commutative schemes; quasi-hereditary schemes; Auslander-Reiten quiver; endomorphism construction; tilting object; Auslander sheaf Burban, Igor; Drozd, Yuriy; Gavran, Volodymyr: Singular curves and quasi-hereditary algebras. (2015) Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) Minors and categorical resolutions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces theta functions; theta vectors, Heisenberg group; quantum theta functions; super Heisenberg group; quantum super theta functions Noncommutative algebraic geometry, Theta functions and abelian varieties, Supersymmetry and quantum mechanics, Nilpotent and solvable Lie groups, Unitary representations of locally compact groups Quantum super theta vectors and theta functions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Vojta's conjecture; Griffiths' conjecture; rational surfaces; subspace theorem; \(abc\) conjecture; Farey sequences Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Value distribution theory in higher dimensions, Global ground fields in algebraic geometry, Farey sequences; the sequences \(1^k, 2^k, \dots\), Schmidt Subspace Theorem and applications, Arithmetic varieties and schemes; Arakelov theory; heights, Rational and ruled surfaces Vojta's conjecture on rational surfaces and the \(abc\) conjecture | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces stable rationality of parameter space; parametrizing matrices; linearization for partial differential equations; Brauer group; vector bundles over the projective plane Lieven Le Bruyn, Simultaneous equivalence of square matrices, Séminaire d'Algèbre Paul Dubreil et Marie-Paul Malliavin, 39ème Année (Paris, 1987/1988) Lecture Notes in Math., vol. 1404, Springer, Berlin, 1989, pp. 127 -- 136. Rational and unirational varieties, Endomorphism rings; matrix rings, Brauer groups of schemes, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Canonical forms, reductions, classification, General theory of PDEs and systems of PDEs with constant coefficients Simultaneous equivalence of square matrices | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Gröbner basis; integral section; Mordell-Weil lattice; deformation of singularities T. Shioda, Gröbner basis, Mordell-Weil lattices and deformation of singularities. I, Proc. Japan Acad. Ser. A Math. Sci. 86 (2010), no. 1, 21-26. Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Elliptic curves over global fields Gröbner basis, Mordell-Weil lattices and deformation of singularities. 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 linear systems; fixed components; base points; irregularity; numerically effective divisors; rational surface; anticanonical divisor Brian Harbourne, ``Anticanonical rational surfaces'', Trans. Am. Math. Soc.349 (1997) no. 3, p. 191-1208 Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Rational and unirational varieties, Projective techniques in algebraic geometry Anticanonical 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 Reider theorem; smooth toric surface; adjoint line bundle; lattice polygon; Pick theorem; Fujita's conjecture Rational and ruled surfaces, Toric varieties, Newton polyhedra, Okounkov bodies A Reider-type result for smooth projective toric 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 motives; periodic cyclic homology; Tannakian formalism; motivic Galois groups Marcolli, Matilde; Tabuada, Gonçalo, Noncommutative numerical motives, Tannakian structures, and motivic Galois groups, J. Eur. Math. Soc. (JEMS), 18, 3, 623-655, (2016) Noncommutative algebraic geometry, (Equivariant) Chow groups and rings; motives, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) Noncommutative numerical motives, Tannakian structures, and motivic Galois 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 degree estimates; subalgebras; free associative algebras; commutators; Mal'cev-Neumann algebras; centralizers; ordered groups Li, Y.-C.; Yu, J.-T., Degree estimate for subalgebras, J. Algebra, 362, 92-98, (2012) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Polynomial rings and ideals; rings of integer-valued polynomials, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Automorphisms and endomorphisms, Computational aspects of associative rings (general theory) Degree estimate for subalgebras. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Noncommutative algebraic geometry, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) Noncommutative counting invariants and curve complexes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative geometry; poset; Stone topology van Oystaeyen, F.: Virtual Topology and Functor Geometry. Lecture Notes in Pure and Applied Mathematics, vol. 256. Chapman and Hall, New York (2007) Research exposition (monographs, survey articles) pertaining to category theory, Categories in geometry and topology, Noncommutative algebraic geometry Virtual topology and functor 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 semisimplicity; canonical coordinates; Fano threefolds; del Pezzo surfaces A. Bayer and Yu. Manin, ''(Semi)simple Exercises in Quantum Cohomology,'' in Proc. Fano Conf., Torino, Italy, 2002 (Univ. Torino, Torino, 2004), pp. 143--173; arXiv:math/0103164. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Fano varieties, Rational and ruled surfaces (Semi)simple exercises in quantum cohomology | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 rational surface of type (n, m) Failla, G., Lahyane, M., Molica Bisci, G.: On the finite generation of the monoid of effective divisor classes on rational surfaces of type (\textit{n}, \textit{m}). Atti Accademia Peloritana Pericolanti Cl. Sci. Fis., Mat. Natur. LXXXIV (2006). https://doi.org/10.1478/C1A0601001 Rational and ruled surfaces, Divisors, linear systems, invertible sheaves On the finite generation of the monoid of effective divisor classes on rational surfaces of type \((n,m)\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces deformation quantization; algebraic star products Fioresi R., Lledo M.A., Varadarajan V.S.: On the deformation quantization of affine algebraic varieties. Int. J. Math. 16, 419--436 (2005) arXiv:math/0406196v1 [math.QA] Deformation quantization, star products, Noncommutative algebraic geometry On the deformation quantization of affine algebraic varieties | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Lahyane, Mustapha; Harbourne, Brian, Irreducibility of \(-1\)-classes on anticanonical rational surfaces and finite generation of the effective monoid, Pacific J. Math., 218, 1, 101-114, (2005) Rational and ruled surfaces, Divisors, linear systems, invertible sheaves Irreducibility of \(-1\)-classes on anticanonical rational surfaces and finite generation of the effective monoid | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces automorphisms of Weyl algebra; holonomic D-modules; polynomial symplectomorphisms; Belov-Kanel-Kontsevich conjecture Kanel-Belov, A.; Elishev, A., On planar algebraic curves and holonomic \(\mathcal{D}\)-modules in positive characteristic, J. Algebra Appl., 15, 8, 1650155, (2016) Noncommutative algebraic geometry, Automorphisms and endomorphisms, Rings of differential operators (associative algebraic aspects) On planar algebraic curves and holonomic \(\mathcal{D}\)-modules 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 torsors; Galois extensions; representations of restricted Lie algebras; quantum groups; finite-dimensional Hopf algebras; affine schemes; cocommutative Hopf algebras; Miyashita-Ulbrich actions; equivariant splittings; sheaves; faithfully flat descent [Ru1] D. Rumynin,Hopf-Galois extensions with central invariants and their geometric properties, Alg. Rep. Th.,1 (1998), 353--381. Rings arising from noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations Hopf-Galois extensions with central invariants and their geometric properties | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces vector bundle; Ulrich bundle; geometrically ruled surface Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces Theta divisors and Ulrich bundles on geometrically ruled surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Poisson structures; integrable systems; ruled surfaces Bartocci, C; Macrí, E, Classification of Poisson surfaces, Commun. Contemp. Math., 7, 89-95, (2005) Rational and ruled surfaces, Poisson manifolds; Poisson groupoids and algebroids Classification of Poisson surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces parametric degree; rational surface; parametrization Schicho, J., The parametric degree of a rational surface, Math. Z., 254, 185-198, (2006) Rational and ruled surfaces, Computational aspects of algebraic surfaces The parametric degree of 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 Auslander algebra; full exceptional sequence; exceptional module; spherical module Module categories in associative algebras, Representations of quivers and partially ordered sets, Rings arising from noncommutative algebraic geometry, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Derived categories, triangulated categories Exceptional sequences and spherical modules for the Auslander algebra of \(k[x]/(x^t)\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hasse principle; Brauer-Manin obstruction; rational points; del Pezzo surfaces; \(K3\) surfaces Hasse principle, weak and strong approximation, Brauer-Manin obstruction, \(K3\) surfaces and Enriques surfaces, Rational and ruled surfaces, Brauer groups of schemes, Rational points Index of fibrations and Brauer classes that never obstruct the Hasse principle | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rings arising in quantum group theory; generic coordinate algebras; quantum Grassmannians; quantum minors; quantum Schubert varieties; normal domains T. H. Lenagan and L. Rigal, Quantum analogues of Schubert varieties in the Grassmannian, Glasg. Math. J. 50 (2008), no. 1, 55 -- 70. Grassmannians, Schubert varieties, flag manifolds, Divisibility, noncommutative UFDs, Rings arising from noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras) Quantum analogues of Schubert varieties in the Grassmannian. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Toric varieties, Newton polyhedra, Okounkov bodies, Families, moduli, classification: algebraic theory, Rational and ruled surfaces, Foliations (differential geometric aspects), Foliations in differential topology; geometric theory Hirzebruch surfaces in a one-parameter family | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Witt vectors' noncommutative rings Noncommutative algebraic geometry, Witt vectors and related rings The rings of Witt vectors for noncommutative rings with some rich structure | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Cohen-Macaulay order; exact category; \(L\)-functor; triadic category; almost split sequence; isolated singularity; representation-finite; non-commutative resolution; Gorenstein ring; Gorenstein projective Abelian categories, Grothendieck categories, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Noncommutative algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Relative homological algebra, projective classes (category-theoretic aspects) Exact Krull-Schmidt categories with finitely many indecomposables | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces real algebraic geometry; rational surface; complexification; approximation of regular maps N. Joglar-Prieto, Rational surfaces and regular maps into the 2-dimensional sphere, Math. Z. 234 (2000), 399-405. Zbl0968.14033 MR1765888 Topology of real algebraic varieties, Rational and ruled surfaces, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) Rational surfaces and regular maps into the 2-dimensional 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 Rational and ruled surfaces, Computational aspects of algebraic surfaces Twenty-seven questions about the 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 supergeometry; ringed spaces; functors of points; linear group actions Supermanifolds and graded manifolds, Analysis on supermanifolds or graded manifolds, Noncommutative algebraic geometry, Group actions on varieties or schemes (quotients), Formal power series rings, Noncommutative local and semilocal rings, perfect rings, Superalgebras Linear \(\mathbb{Z}_2^n\)-manifolds and linear actions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces infinite field; variety of algebras; category of algebraic sets; category of algebraic varieties B. Plotkin, Ukr. Math. J. 54(6), 1019 (2002). Varieties and morphisms, Varieties, Noncommutative algebraic geometry, Local categories and functors Some problems in nonclassical 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 maximal Cohen-Macaulay modules; matrix factorizations Noncommutative algebraic geometry, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), McKay correspondence, Representations of quivers and partially ordered sets, Cohen-Macaulay modules, Group rings of finite groups and their modules (group-theoretic aspects), Singularities in algebraic geometry, Ordinary representations and characters Low dimensional orders of finite representation type | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Serre property \(S_2\); arithmetically Cohen-Macaulay surfaces; del Pezzo and rational surfaces Special surfaces, Rational and ruled surfaces, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) Projective surfaces of degree \(r+1\) in projective \(r\)-space and almost non-singular projections | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noetherian graded rings; noncommutative projective geometry; twisted homogeneous coordinate rings; abstract Hilbert schemes Keeler, D. S.: The rings of noncommutative projective geometry. Advances in algebra and geometry, 195-207 (2003) Noncommutative algebraic geometry, Projective techniques in algebraic geometry, Noetherian rings and modules (associative rings and algebras) The rings of noncommutative projective 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 rational normal scroll; Veronese embedding; join variety; multiprojective space; variety of complexes; variety of minimal degree; double structure; \(K3\) surface; Calabi-Yau scheme; Gorenstein ring; Gröbner basis \(n\)-folds (\(n>4\)), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Linkage, complete intersections and determinantal ideals, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Rational and ruled surfaces, \(K3\) surfaces and Enriques surfaces, Calabi-Yau manifolds (algebro-geometric aspects), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties, Rational and unirational varieties, Projective techniques in algebraic geometry Correspondence 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 Helton, J. W.; Klep, I.; McCullough, S., Free convex algebraic geometry, Semidefinite Optimization and Convex Algebraic Geometry, 341-405, (2013), SIAM Noncommutative algebraic geometry, Real algebraic sets, Semialgebraic sets and related spaces Free convex 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 flag threefold; integral curves Twistor theory, double fibrations (complex-analytic aspects), Grassmannians, Schubert varieties, flag manifolds, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Rational and ruled surfaces Surfaces in the flag threefold containing smooth conics and twistor fibers | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 geometry DOI: 10.1006/jabr.1993.1054 Noncommutative topology, Noncommutative differential geometry, Noncommutative algebraic geometry An invitation to dyslectic 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 completely integrable models; generalized \(\sigma\)-models; nonlinear Toda lattice Müller-Hoissen, Folkert, Introduction to noncommutative geometry of commutative algebras and applications in physics, (Garcia, A.; Lämmerzahl, C.; Macias, A.; Matos, T.; Nuñez, D., Recent developments in gravitation and mathematical physics, Proceedings of the second Mexican school on gravitation and mathematical physics, (1997), Science Network Publishing) Noncommutative topology, Noncommutative differential geometry, Classical field theories, Noncommutative algebraic geometry, Classical or axiomatic geometry and physics Noncommutative geometry and integrable models | 0 |
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