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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 factoring of birational map; classification of nonsingular projective rational surfaces Yu. Polyakova, Factorization of birational mappings of rational surfaces over the field of real numbers. Fundam. Prikl. Mat. 3(2), 519-547 (1997) Rational and birational maps, Rational and ruled surfaces, Real algebraic and real-analytic geometry Factoring birational maps of rational surfaces over the field of real numbers | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces deformations of ruled manifolds; ruled surfaces Rational and ruled surfaces, Formal methods and deformations in algebraic geometry, \(n\)-folds (\(n>4\)) Deformations of ruled manifolds | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces del Pezzo surface; effective cone; Manin's conjecture U. Derenthal, On a constant arising in Manin's Conjecture for Del Pezzo surfaces. Math. Res. Letters 14 (2007), 481-489. Zbl1131.14042 MR2318651 Rational and ruled surfaces, Rational points, Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) On a constant arising in Manin's conjecture for 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 Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces, Arithmetic ground fields for surfaces or higher-dimensional varieties Classification of singular fibers on rational elliptic surfaces in characteristic three | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces fibers of morphism; implicitization; parameterization surfaces; elimination theory; approximation complex; geometric modeling Rational and ruled surfaces, Fibrations, degenerations in algebraic geometry, Computational aspects of algebraic surfaces Bound for the number of one-dimensional fibers of a projective morphism | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces positive self-intersection; good position in projective plane; rational surfaces; anticanonical class; numerically effective divisor classes; generic blowings up Harbourne, B.: Rational surfaces with \textit{K}\^{}\{2\}\ >\ 0. Proc. Am. Math. Soc. 124(3), 727-733 (1996) Rational and ruled surfaces, Divisors, linear systems, invertible sheaves, Computational aspects and applications of commutative rings Rational surfaces with \(K^ 2>0\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative algebra; finite associative algebra; single-sided units; parametrizable multiplication; post-quantum cryptography; public-key cryptoscheme; hidden logarithm problem; discrete logarithm problem Cryptography, Computational aspects of associative rings (general theory), Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), Endomorphism rings; matrix rings A unified method for setting finite non-commutative associative algebras and their 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 Vioreanu, B. G.: Mordell-Weil problem for cubic surfaces, numerical evidence, Clay math. Proc. 8, 223-240 (2009) Varieties over global fields, Heights, Rational and ruled surfaces Mordell-Weil problem for cubic surfaces, numerical evidence | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 group; projective linear group; rational surfaces; birational classification; canonical dimension Colliot-Thélène, J. -L.; Karpenko, N. A.; Merkurjev, A. S.: Rational surfaces and canonical dimension of pgl6, Algebra i analiz 19, No. 5, 159-178 (2007) Group actions on varieties or schemes (quotients), Linear algebraic groups over arbitrary fields, Rational and ruled surfaces, Group schemes Rational surfaces and the canonical dimension of \(\mathrm{PGL}_6\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces generic matrices; PI algebras; artinian rings; noetherian rings Noncommutative algebraic geometry, Plane and space curves, Affine geometry, Group rings, Simple and semisimple modules, primitive rings and ideals in associative algebras, Representations of orders, lattices, algebras over commutative rings Dimension of noncommutative plane curves | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces semi-stable singular fibers; classifying extremal rational elliptic surfaces in characteristic \(p\) Lang, William E., Extremal rational elliptic surfaces in characteristic \(p\). I. Beauville surfaces, Math. Z., 0025-5874, 207, 3, 429-437, (1991) Finite ground fields in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces Extremal rational elliptic surfaces in characteristic \(p\). I: Beauville 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 line bundle; strange duality conjecture; moduli spaces of semistable sheaves Y. Yuan, Determinant line bundles on moduli spaces of pure sheaves on rational surfaces and Strange Duality , preprint, [math.AG]. 1005.3201v2 Fine and coarse moduli spaces, Rational and ruled surfaces Determinant line bundles on moduli spaces of pure sheaves on rational surfaces and strange duality | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative projective geometry; Grothendieck categories; \(\chi\)-condition; quotient categories Noncommutative algebraic geometry Lecture notes on noncommutative algebraic geometry and noncommutative 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 graded subalgebras; tensor algebras; S-algebras; invariant algebras; Endlichkeitssatz; noncommutative invariants; generating functions; Hilbert series Automorphisms and endomorphisms, Brauer groups of schemes, Vector and tensor algebra, theory of invariants, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Representations of finite symmetric groups, Combinatorial aspects of representation theory, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) S-algebras and commutative rings | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non commutative algebraic geometry; topology; transition morphisms Noncommutative algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry Introduction to non commutative algebraic geometry | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative projective three-spaces; Koszul Calabi-Yau algebra Quadratic and Koszul algebras, Yang-Baxter equations, Noncommutative algebraic geometry Calabi-Yau property of noncommutative projective three-spaces and quantum Yang-Baxter equation | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces V. Ginzburg, ''Harish-Chandra bimodules for quantized Slodowy slices,'' Represent. Theory, vol. 13, pp. 236-271, 2009. Coadjoint orbits; nilpotent varieties, Noncommutative algebraic geometry, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) Harish-Chandra bimodules for quantized Slodowy slices | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Fioresi R. and Gavarini F., On the construction of Chevalley supergroups, Supersymmetry in Mathematics and Physics (Los Angeles 2010), Lecture Notes in Math. 2027, Springer, Berlin (2011), 101-123. Supervarieties, Noncommutative algebraic geometry, Modular Lie (super)algebras, Supermanifolds and graded manifolds On the construction of Chevalley supergroups | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces variation of Hodge structures; noncommutative Hodge structures; 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. II: Landau-Ginzburg orbifolds | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces moduli spaces of sheaves; sheaf cohomology; Brill-Noether divisors Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces, Algebraic moduli problems, moduli of vector bundles, Sheaves in algebraic geometry The cohomology of general tensor products of vector bundles on \(\mathbb{P}^2\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Brauer groups; diagonal cubic surfaces; norm residue symbols Uematsu, T.: Symbolic generators of the Brauer group of diagonal cubic surfaces and their applications to zero-cycles. RIMS Kokyuroku Bessatsu, Algebraic Number Theory and Related Topics (2012, to appear) Brauer groups of schemes, Symbols and arithmetic (\(K\)-theoretic aspects), Galois cohomology, Rational and ruled surfaces Symbolic generators of the Brauer group of diagonal cubic surfaces and their applications to zero-cycles | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \(G\)-identities; \(G\)-varieties; \(G\)-groups; algebraic geometry over groups; nilpotent groups M. G. Amaglobeli, ''G-identities of nilpotent groups, I,'' Algebra Logika, 40, No. 1, 3--21 (2001). Quasivarieties and varieties of groups, Noncommutative algebraic geometry, Nilpotent groups, General structure theorems for groups, Geometric group theory, Category of groups \(G\)-identities of nilpotent groups. 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 Hilbert function; fat points; matroids Geramita, A. V.; Harbourne, B.; Migliore, J., Classifying Hilbert functions of fat point subschemes in \(\mathbb P^2\), Collect. Math., 60, 159-192, (2009) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Syzygies, resolutions, complexes and commutative rings, Low codimension problems in algebraic geometry, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series 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 degree estimates; commutators; Jacobians; coordinates; tame automorphisms; wild automorphisms; free associative algebras; polynomial algebras; Jacobian conjecture Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Automorphisms and endomorphisms, Ordinary and skew polynomial rings and semigroup rings, Actions of groups and semigroups; invariant theory (associative rings and algebras), Polynomial rings and ideals; rings of integer-valued polynomials, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Degree estimate for commutators. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces 4-manifolds; trisections; complex surfaces General topology of 4-manifolds, Low-dimensional topology of special (e.g., branched) coverings, Higher-dimensional knots and links, Rational and ruled surfaces, Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) Bridge trisections in 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 Fourier-Mukai functors; adjoints on derived categories; perfect complex; relative perfect complex; derived functors; infinity functors; pseudo-functors Derived categories and commutative rings, Noncommutative algebraic geometry Adjoints to a Fourier-Mukai functor | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quiver with relation; maximal modification algebra; noncommutative crepant resolution; toric geometry; graded rank 1 Cohen-Macaulay modules; dimer models; dimers; mutations R. Bocklandt, \textit{Generating toric noncommutative crepant resolutions}, arXiv:1104.1597 [INSPIRE]. Noncommutative algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects) Generating toric noncommutative 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 S. Pinansky. Quantum deformations from toric geometry. \textit{Journal of High Energy Physics} (2006), 055, 26~pp. (electronic). String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Toric varieties, Newton polyhedra, Okounkov bodies, Supersymmetric field theories in quantum mechanics, Rational and ruled surfaces Quantum deformations from toric 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 filtered sheaf; formal sheaf; graded space; exact functor Foundations of algebraic geometry, Associative rings of functions, subdirect products, sheaves of rings Base change and the formal structure sheaves | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces endomorphism algebra of an abelian variety; characteristic p; complex multiplications F. Oort, ''Endomorphism Algebras of Abelian Varieties,'' in Algebraic Geometry and Commutative Algebra (Kinokuniya, Tokyo, 1988), Vol. 2, pp. 469--502. Algebraic theory of abelian varieties, Complex multiplication and abelian varieties, Endomorphism rings; matrix rings, Arithmetic ground fields for abelian varieties Endomorphism algebras of abelian 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 ruled surface; class; quadric fibration; degree; hyperplane bundle; adjunction theory A. Lanteri and F. Tonoli, Ruled surfaces with small class, Comm. Algebra 24 (1996), 3501--3512. Rational and ruled surfaces, Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\)) Ruled surfaces with small class | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces ruled surfaces; special scrolls; elementary transformations L. Fuentes García, M. Pedreira Pérez, The generic special scroll of genus g in \(\mathbb{P}\)\textit{N}: special scrolls in \(\mathbb{P}\)3. \textit{Commun. Algebra} 40 (2012), 4483-4493. Zbl 1272.14027 Rational and ruled surfaces, Special algebraic curves and curves of low genus, Vector bundles on curves and their moduli The generic special scroll of genus \(g\) in \(\mathbb P^N\): special scrolls in \(\mathbb P^3\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces del Pezzo surfaces; non-rational singularity; anticanonical models Schröer, S, Normal del Pezzo surfaces containing a nonrational singularity, Manuscr. Math., 104, 257-274, (2001) Singularities of surfaces or higher-dimensional varieties, Rational and ruled surfaces, Arithmetic ground fields for surfaces or higher-dimensional varieties, Special surfaces Normal del Pezzo surfaces containing a nonrational singularity | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces anticanonical rational surfaces; minimal models of smooth rational surfaces; Hodge index theorem; points in general position; Néron-Severi group; blowing-up Lahyane, M.: Exceptional curves on smooth rational surfaces with \(-\)\ \textit{K} not nef and of self-intersection zero. Proc. Am. Math. Soc. 133, 1593-1599 (2005) Rational and ruled surfaces, Rational and birational maps, Divisors, linear systems, invertible sheaves Exceptional curves on smooth rational surfaces with \(-K\) not nef and of self-intersection zero | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Calabi-Yau threefolds; double-odd curves; indifferentiable hashing to elliptic curves; \(j\)-invariant 1728; pairing-based cryptography Applications to coding theory and cryptography of arithmetic geometry, Cryptography, Curves over finite and local fields, Algebraic coding theory; cryptography (number-theoretic aspects), Elliptic curves, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Calabi-Yau manifolds (algebro-geometric aspects), \(3\)-folds, Rational and birational maps, Rationality questions in algebraic geometry, Finite ground fields in algebraic geometry The most efficient indifferentiable hashing to elliptic curves of \(j\)-invariant 1728 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces stability condition; \(A_{n}\)-quiver; Calabi-Yau category A. Ikeda, 'Stability conditions on CYN categories associated to An-quivers and period maps', \textit{Math. Ann.}367 (2017) 1-49. Calabi-Yau manifolds (algebro-geometric aspects), Noncommutative algebraic geometry, Representations of quivers and partially ordered sets, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Representations of associative Artinian rings, Derived categories and associative algebras Stability conditions on \(\mathrm{CY}_N\) categories associated to \(A_n\)-quivers and period maps | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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; alpha invariant; weakly exceptional singularity; affine super-rigidity Singularities of surfaces or higher-dimensional varieties, Fano varieties, Rational and ruled surfaces Weakly exceptional singularities of log del Pezzo surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces affine cone; anticanonical divisor; cylinder; del Pezzo surface; du Val singularity; \(\mathbb G_{a}\)-action; minimal resolution; log canonical singularity; weak del Pezzo surface I. Cheltsov, J. Park and J. Won, Cylinders in del Pezzo surfaces, preprint (2015), . Divisors, linear systems, invertible sheaves, Rational and birational maps, Singularities of surfaces or higher-dimensional varieties, Rational and ruled surfaces, Fano varieties, Group actions on affine varieties, Affine fibrations Cylinders in 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 deformation theory; Maurer-Cartan equation; quantum master equation; differential graded manifold; BV-algebra Formal methods and deformations in algebraic geometry, Differential graded algebras and applications (associative algebraic aspects), Deformation quantization, star products, Polycategories/dioperads, properads, PROPs, cyclic operads, modular operads, Noncommutative algebraic geometry, Quantization in field theory; cohomological methods, Chain complexes (category-theoretic aspects), dg categories Quantizing deformation theory. II | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces general type orbifolds Fedor Bogomolov and Yuri Tschinkel, Special elliptic fibrations, The Fano Conference, Univ. Torino, Turin, 2004, pp. 223 -- 234. Fibrations, degenerations in algebraic geometry, \(n\)-folds (\(n>4\)), Generalizations (algebraic spaces, stacks), Rational and ruled surfaces Special elliptic 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 universal algebraic geometry; algebraic structure; geometrical equivalence; prevariety; quasivariety Daniyarova E. Yu., Myasnikov A. G., and Remeslennikov V. N., ''Algebraic geometry over algebraic structures. VI. Geometrical equivalence,'' Algebra and Logic (to be published). Algebraic structures, Equational classes, universal algebra in model theory, Noncommutative algebraic geometry Algebraic geometry over algebraic structures. VI: Geometrical equivalence | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces sectional genus; classification of irregular ruled surfaces; very ample line bundle; iterating the adjunction process Biancofiore A., Livorni E.L.:Algebraic ruled surfaces with low sectional genus.Ricerche di Matematica.Vol.XXXVI,fasc.1{\(\deg\)} (1987) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Moduli, classification: analytic theory; relations with modular forms Algebraic ruled surfaces with low sectional genus | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Rational and ruled surfaces, Fibrations, degenerations in algebraic geometry Stable rationality of del Pezzo fibrations of low degree over projective spaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Polishchuk, A.; Rothstein, M., Fourier transform for \textit{D}-algebras, Duke math. J., 109, 1, 123-146, (2001) Noncommutative algebraic geometry, Algebraic theory of abelian varieties Fourier transform for \(D\)-algebras. 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 Quantum groups and related algebraic methods applied to problems in quantum theory, Quantum groups (quantized enveloping algebras) and related deformations, Lie algebras of linear algebraic groups, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Estimation in multivariate analysis, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) A quantum algebra approach to multivariate Askey-Wilson polynomials | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces polarized rational surfaces; exceptional lines; Hirzebruch surface Rational and ruled surfaces, Rational and unirational varieties, Low codimension problems in algebraic geometry Class of rational surfaces in \(\mathbf P^4\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Seshadri constant; fat points; linear systems of plane curves Eckl, T., Ciliberto--miranda degenerations of \(\mathbb{C} \mathbb{P}^2\) blown up in 10 points, J. Pure Appl. Algebra, 215, 672-696, (2011) Rational and ruled surfaces, Divisors, linear systems, invertible sheaves Ciliberto-Miranda degenerations of \(\mathbb {CP}^2\) blown up in 10 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 non-commutative algebra; finite associative algebra; single-sided units; post-quantum cryptography; public-key cryptoscheme; signature scheme; discrete logarithm problem; hidden logarithm problem Cryptography, Authentication, digital signatures and secret sharing, Computational aspects of associative rings (general theory), Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), Endomorphism rings; matrix rings Structure of a finite non-commutative algebra set by a sparse multiplication table | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Brauer group; maximal orders; Azumaya orders; Brauer class; Kollár's condition; compactification; virtual fundamental class; bijective closed substack; parabolic Azumaya algebras; ramification divisor; matrix algebras; Brumer log terminal structure; blt; hulls and husks; reflexive Azumaya algebras; rational double points; compactification; parabolic generalized Azumaya algebras; hereditary site; \(n\)-typed Azumaya algebra; \(1\)-isomorphism; Brumer log terminal Azumaya algebra Brauer groups (algebraic aspects), Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Groupoids, semigroupoids, semigroups, groups (viewed as categories), Noncommutative algebraic geometry Blt Azumaya algebras and moduli of maximal orders | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces motivic Igusa zeta function; principal value integral; multi valued rational differential form Veys, W.: Vanishing of principal value integrals on surfaces. J. Reine Angew. Math. 598, 139--158 (2006). MR MR2270570 (2007g:11156) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Motivic cohomology; motivic homotopy theory, Rational and ruled surfaces Vanishing of principal value integrals on surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces complex multiplication; noncommutative geometry Elliptic curves, Noncommutative topology, Noncommutative algebraic geometry On complex and noncommutative 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 groups of automorphisms; transitive actions; Calogero-Moser spaces; configuration spaces Rings of differential operators (associative algebraic aspects), Automorphisms and endomorphisms, Group actions on varieties or schemes (quotients), Rings arising from noncommutative algebraic geometry Multitransitivity of 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 exceptional collection; dg enhancement Bodzenta, A., DG categories and exceptional collections, Proc. Am. Math. Soc., 143, 5, 1909-1923, (2015) Rational and ruled surfaces DG categories and exceptional collections | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 Horace lemma; prescribed singularities; Picard group; cohomology groups of line bundles; plane curves; geometric genus Mignon, T., Courbes lisses sur les surfaces rationnelles génériques: Un lemme d'Horace différentiel, Ann. Inst. Fourier (Grenoble), 50, 6, 1709-1744, (2000) Rational and ruled surfaces, Plane and space curves, Configurations and arrangements of linear subspaces Smooth curves on generic rational surfaces: a differential Horace lemma | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces special scroll; stable vector bundle; special stable vector bundle Vector bundles on curves and their moduli, Rational and ruled surfaces, Projective techniques in algebraic geometry Special stable vector bundles on smooth curves | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Noncommutative algebraic geometry, Formal methods and deformations in algebraic geometry, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects) Computing noncommutative global deformations of D-modules | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Weierstrass semigroup of a point; double covering of a hyperelliptic curve; 4-semigroup Komeda, J., Ohbuchi, A.: Weierstrass points with first non-gap four on a double covering of a hyperelliptic curve II. Serdica Math. J. \textbf{34}, 771-782 (2008) Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group, Rational and ruled surfaces Weierstrass points with first non-gap four on a double covering of a hyperelliptic curve. II | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces dualizing complexes; equivariant sheaves; de Rham complexes; categories of differential graded algebras; non-commutative multi-parameter quantum deformations; integration; differential forms; homogeneous coordinate rings Borowiec A., Adv. Math. 115 pp 250-- (1995) Deformations of associative rings, Quantum groups (quantized enveloping algebras) and related deformations, Rings of differential operators (associative algebraic aspects), Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry, Quantum groups and related algebraic methods applied to problems in quantum theory, Pseudogroups and differentiable groupoids, \(p\)-adic cohomology, crystalline cohomology Canonical deformations of de Rham 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 orders; numerically Calabi-Yau orders; noncommutative cyclic cover; maximal order Bowne-Anderson, H.: The explicit construction of orders on surfaces, (2011) Noncommutative algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects) The construction of numerically Calabi-Yau orders on projective 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 algebraic geometry; noncommutative quadric surfaces; Sklyanin algebra DOI: 10.4171/JNCG/136 Noncommutative algebraic geometry, Pencils, nets, webs in algebraic geometry, Picard groups Noncommutative quadric 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 geometry; noncommutative differential calculus; Poincaré lemma; Toda lattice equation Noncommutative algebraic geometry, Classical or axiomatic geometry and physics, Applications of local differential geometry to the sciences Noncommutative differential calculus and its application on the lattice | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Betti numbers; matrix factorizations; maximal Cohen-Macaulay modules; plane cubics; elliptic curves Cohen-Macaulay modules, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Vector bundles on curves and their moduli, Plane and space curves, Noncommutative algebraic geometry, Vector bundles on curves and their moduli, Elliptic curves Betti tables of MCM modules over the cone of a plane cubic | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces generalized double affine Hecke algebras of rank 1; quantized del Pezzo surfaces Etingof, P.; Oblomkov, A.; Rains, E., \textit{generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces}, Adv. Math., 212, 749-796, (2007) Noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations, Hecke algebras and their representations Generalized double affine Hecke algebras of rank 1 and quantized 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 Lie algebroid; Hochschild homology; Hochschild cohomology; jet bundle; poly-vector fields D. Calaque, C. Rosso, and M. Van den Bergh, Hochschild (co)homology for Lie algebroids. Internat. Math. Res. Notices 2010 (2010), No. 21, 4098--4136. Noncommutative algebraic geometry, Connections (general theory) Hochschild (co)homology for Lie algebroids | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Diaconescu, D-E; Florea, B., The ruled vertex and nontoric del Pezzo surfaces, JHEP, 12, 028, (2006) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Rational and ruled surfaces, Topological field theories in quantum mechanics The ruled vertex and nontoric 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 Families, moduli of curves (algebraic), Syzygies, resolutions, complexes and commutative rings, Algebraic moduli problems, moduli of vector bundles, Special divisors on curves (gonality, Brill-Noether theory), Families, moduli, classification: algebraic theory, Rational and ruled surfaces, \(K3\) surfaces and Enriques surfaces, Jacobians, Prym varieties Syzygies of curves beyond Green's 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 algebraic sets; metabelian groups N. Romanovskii, ''Algebraic sets in metabelian groups,'' Algebra Logic, 46, No. 4, 274--280 (2007). Solvable groups, supersolvable groups, Free nonabelian groups, Quasivarieties and varieties of groups, Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Noncommutative algebraic geometry, Model-theoretic algebra Algebraic sets in metabelian 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 invariant base change; minimal fibration; invariants of singularities Tan, S.-L.: On the invariants of base changes of pencils of curves, I. Manuscripta Math.84 (1994), 225--244 Singularities of surfaces or higher-dimensional varieties, Singularities of curves, local rings, Families, fibrations in algebraic geometry, Rational and ruled surfaces On the invariants of base changes of pencils of curves. 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 central simple algebra; induced representation; involution; Galois extension; quadratic module; real field; Weyl algebra Real algebraic and real-analytic geometry, Noncommutative algebraic geometry, Algebras of unbounded operators; partial algebras of operators, Ordered rings, Ordered fields, Rings with involution; Lie, Jordan and other nonassociative structures Induced quadratic modules | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Welschinger invariant; del Pezzo surface Enumerative problems (combinatorial problems) in algebraic geometry, Rational and ruled surfaces, Real algebraic sets Relative enumerative invariants of real nodal 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 wild automorphisms; invertible endomorphisms; free metabelian algebras; free associative algebras; Jacobian matrices Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Automorphisms and endomorphisms, \(T\)-ideals, identities, varieties of associative rings and algebras, Jacobian problem Wild automorphisms of free metabelian 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 Dynkin quivers; parabolic subgroups; unipotent radicals; categories of matrices; quasi-hereditary algebras; orbits; directed algebras; filtered modules Brüstle, T.; Hille, L.: Actions of parabolic subgroups in gln on unipotent normal subgroups and quasi-hereditary algebras. Coll. math. 83, 281-294 (2000) Representations of quivers and partially ordered sets, Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc., Group actions on varieties or schemes (quotients), Module categories in associative algebras, Endomorphism rings; matrix rings Actions of parabolic subgroups in \(\text{GL}_n\) on unipotent normal subgroups and quasi-hereditary algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces elliptic curve; ruled surface; Riccati foliation and singular web Rational and ruled surfaces, Pencils, nets, webs in algebraic geometry, Elliptic curves Geometry of the stable ruled surface over an elliptic curve | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces tilting bundle; rational surface; quasi-hereditary algebra Lutz Hille & Markus Perling, ``Tilting bundles on rational surfaces and quasi-hereditary algebras'', Ann. Inst. Fourier64 (2014) no. 2, p. 625-644 Rational and ruled surfaces, Representations of quivers and partially ordered sets Tilting bundles on rational surfaces and quasi-hereditary algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces generalized Weyl algebras; graded rings; noncommutative projective schemes; translation principle; Morita equivalence Graded rings, Graded rings and modules (associative rings and algebras), Module categories in associative algebras, Rings arising from noncommutative algebraic geometry, Curves in algebraic geometry Simple \(\mathbb{Z} \)-graded domains of Gelfand-Kirillov dimension two | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces families of low dimensions; deformations of complex structures; analytic moduli problem; compact surfaces; removable singularities; fibres; local triviality; degeneracy loci; ruled surfaces; Hopf surfaces; Inoue surfaces Complex-analytic moduli problems, Deformations of complex structures, Families, moduli of curves (analytic), Rational and ruled surfaces, Compact complex surfaces, Surfaces of general type Singular loci in holomorphic families | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Structure of families (Picard-Lefschetz, monodromy, etc.), Rational and ruled surfaces, Grothendieck groups (category-theoretic aspects), Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category, Symplectic and contact topology in high or arbitrary dimension Pseudolattices, del Pezzo surfaces, and Lefschetz 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 simple one-dimensional representations; plane noncommutative curves; noncommutative quadric; noncommutative Jacobian; noncommutative derivations Noncommutative algebraic geometry, Plane and space curves, Simple and semisimple modules, primitive rings and ideals in associative algebras, Representations of orders, lattices, algebras over commutative rings Simple modules and non-commutative quadrics | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Cox ring; del Pezzo surface; homogeneous space Derenthal, U., Universal torsors of del Pezzo surfaces and homogeneous spaces, Adv. Math., 213, 849-864, (2007) Rational and ruled surfaces, Group actions on varieties or schemes (quotients) Universal torsors of del Pezzo surfaces and homogeneous 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 Hopf algebra; quantum group; Drinfeld twist deformation; deformation quantization; universal enveloping algebra; bimodules; connection J. Wess, \textit{Deformed coordinate spaces: derivatives}, in \textit{Proceedings BW}2003 \textit{workshop, Vrnjacka Banja, Serbia and Montenegro}, G. Djordjevic, L. Nesic and J. Wess eds., World Scientific Singapore, (2005) [ISBN:9789812561305 (Print), 9789814481137 (Online)] [hep-th/0408080] [INSPIRE]. Local deformation theory, Artin approximation, etc., Bimodules in associative algebras, Drinfel'd modules; higher-dimensional motives, etc., Noncommutative algebraic geometry, Hopf algebras and their applications Noncommutative connections on bimodules and Drinfeld twist deformation | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces algebraic surface; Brauer group; class group Brauer groups of schemes, Rational and ruled surfaces, Divisors, linear systems, invertible sheaves The Brauer group of an affine double plane associated to a hyperelliptic curve | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces points of bounded height; Diophantine approximation; del Pezzo surfaces Counting solutions of Diophantine equations, Diophantine equations in many variables, Applications of the Hardy-Littlewood method, Rational points, Rational and ruled surfaces Local distribution of rational points of bounded height on a del Pezzo surface of degree 6 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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; 27 lines; rational elliptic surface; Mordell-Weil lattice Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces The MWL-algorithms for constructing cubic surfaces with preassigned 27 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 cubic surface; counterexample to the Hasse principle; moduli scheme Andreas-Stephan Elsenhans & Jörg Jahnel, ``Cubic surfaces violating the Hasse principle are Zariski dense in the moduli scheme'', Adv. Math.280 (2015), p. 360-378 Varieties over global fields, Global ground fields in algebraic geometry, Rational points, Rational and ruled surfaces, Families, moduli, classification: algebraic theory Cubic surfaces violating the Hasse principle are Zariski dense in the moduli scheme | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \(\mathbb A^1\)-homotopy; algebraic \(K\)-theory; Witt vectors; sheaf of dg algebras; dg orbit category; cluster category; du val singularities; noncommutative algebraic geometry Tabuada, Gonçalo, \(\mathbb{A}^1\)-homotopy invariance of algebraic \(K\)-theory with coefficients and du Val singularities, Ann. K-Theory, 2, 1, 1-25, (2017) Noncommutative algebraic geometry, Singularities of curves, local rings, \(K\)-theory of schemes, Klein surfaces, Witt vectors and related rings \(\mathbb A^1\)-homotopy invariance of algebraic \(K\)-theory with coefficients and du Val singularities | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces base point; quadratic form; quadric; regular algebra; skew Clifford algebra Clifford algebras, spinors, ``Super'' (or ``skew'') structure, Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry Generalizing classical Clifford algebras, graded Clifford algebras and their associated 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 ruled surface; ruled variety; developable variety; Grassmannian; secant variety; tangent variety Fischer, G., Piontkowski, J.: \textit{Ruled Varieties, An Introduction to Algebraic Differential Geometry}. Advanced Lectures in Math., Friedr. Vieweg & Sohn, Hamburg (2001) Rational and ruled surfaces, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry Ruled varieties. An introduction to algebraic differential 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 weighted graph; affine surface; completion; standard model; birational transformation Hubert Flenner, Shulim Kaliman & Mikhail Zaidenberg, Birational transformations of weighted graphs, Affine algebraic geometry, Osaka Univ. Press, Osaka, 2007, p. 107â147 Automorphisms of surfaces and higher-dimensional varieties, Rational and ruled surfaces, Affine geometry, Graph theory Birational transformations of weighted graphs | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces fat points; linear systems; postulation problem; unexpected hypersurfaces; Fermat-type arrangements Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Configurations and arrangements of linear subspaces, Ideals and multiplicative ideal theory in commutative rings, Polynomial rings and ideals; rings of integer-valued polynomials Unexpected hypersurfaces with multiple fat 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 analytic compactification; quotient surface; cyclic group M. Abe, M. Furushima, andT. Shima, Analytic compactifications of /\(\mathbb{Z}\)n.Abh. Math. Sem. Univ. Hamburg 74 (2004), 223--235. Compactification of analytic spaces, Rational and ruled surfaces, Compact complex surfaces Analytic compactifications of \(\mathbb{C}^2/\mathbb{Z}_n\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Cherednik algebras; symplectic singularities; Hamiltonian reduction; representations 7. I. Gordon, Rational Cherednik algebras, in Proc. Int. Cong. Mathematicians, Vol. III, (Hindustan Book Agency, New Delhi, 2010), pp. 1209-1225. Representations of orders, lattices, algebras over commutative rings, Associative rings and algebras arising under various constructions, Lie algebras and Lie superalgebras, Noncommutative algebraic geometry, Hecke algebras and their representations, Reflection and Coxeter groups (group-theoretic aspects) Rational Cherednik 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 quadratic potential Rigidity results, Noncommutative algebraic geometry, (Equivariant) Chow groups and rings; motives, Motivic cohomology; motivic homotopy theory, Enriched categories (over closed or monoidal categories), \(K\)-theory and homology; cyclic homology and cohomology Rigidity of entire self-shrinking solutions to Kähler-Ricci flow on the complex 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 Donaldson-Thomas theory; motivic vanishing cycle; Calabi-Yau algebra; quiver representation; dimensional reduction Cazzaniga, A., Morrison, A., Pym, B., Szendroi, B.: Motivic Donaldson-Thomas invariants of some quantized threefolds. arXiv:1510.08116 Noncommutative algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Representations of quivers and partially ordered sets Motivic Donaldson-Thomas invariants of some quantized threefolds | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Artin-Schelter Cohen-Macaulay algebra; Artin-Schelter Gorenstein algebra; Cohen-Macaulay ring; fully bounded noetherian algebra; isolated singularity; maximal Cohen-Macaulay module; non-commutative projective scheme; punctured spectrum Jørgensen, P., Finite Cohen-Macaulay type and smooth non-commutative schemes, Canad. J. Math., 60, 379-390, (2008) Noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Graded rings and modules (associative rings and algebras) Finite Cohen-Macaulay type and smooth non-commutative 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 rational surfaces; strange duality; moduli spaces of sheaves Structure of families (Picard-Lefschetz, monodromy, etc.), Rational and ruled surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Strange duality on rational surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces log del Pezzo surface; compactification of the affine plane; quotient singular point Rational and ruled surfaces, Singularities of surfaces or higher-dimensional varieties Log del Pezzo surfaces of rank one containing the affine 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 Rigid analytic geometry, Modular and Shimura varieties, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Rings arising from noncommutative algebraic geometry, Representations of Lie and linear algebraic groups over local fields Completed tensor products and a global approach to \(p\)-adic analytic differential operators | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces smooth 4-manifolds; Seiberg-Witten theory; gluing; Meng-Taubes theorem; Taubes-Gromov theory; symplectic Applications of global analysis to structures on manifolds, Rational and ruled surfaces, Symplectic manifolds (general theory), Differentiable structures in differential topology Knot surgery revisisted | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quadratic surfaces Rational and ruled surfaces, Hypersurfaces and algebraic geometry Research on surfaces of second degree which are cut out by two plane curves or which are enveloped by two common cones. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 equivalence; del Pezzo surface; arbitrary field; tilting bundle 10.1017/is010011013jkt134 Rational and ruled surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli A derived equivalence for a degree 6 del Pezzo surface over an arbitrary field | 0 |
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