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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 del Pezzo surface; K-stability; Kähler-Einstein metric Rational and ruled surfaces, Fano varieties, Special Riemannian manifolds (Einstein, Sasakian, etc.) Unstable singular del Pezzo hypersurfaces with lower index | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces del Pezzo surfaces; degree 1; exceptional curves Rational and ruled surfaces, Fano varieties, Enumerative problems (combinatorial problems) in algebraic geometry Concurrent lines on del Pezzo surfaces of degree one | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces regular algebras of global dimension 3; non-commutative affine scheme; point modules; twisting a graded algebra M. Artin, J. Tate, M. Van den Bergh, Modules over regular algebras of dimension \(\(3\)\). Invent. Math. 106(2), 335-388 (1991) Noncommutative algebraic geometry, Other algebras and orders, and their zeta and \(L\)-functions, Graded rings and modules (associative rings and algebras), \(3\)-folds, Homological dimension in associative algebras Modules over regular algebras of dimension 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 ordinary powers of ideals, symbolic powers of ideals; fat point schemes; Waldschmidt constants; line arrangements, T. Szemberg; J. Szpond, On the containment problem, Rend. Circ. Mat. Palermo, \(###\). Ser, 66, 233-245, (2017) 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 On the containment problem | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces developable ruled surfaces Rational and ruled surfaces, Projective techniques in algebraic geometry Developable ruled surfaces in complex projective space | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces birational maps; endomorphisms; Drinfeld's half-space; finite fields Positive characteristic ground fields in algebraic geometry, Rational and birational maps, Rational and ruled surfaces Birational geometry of compactifications of Drinfeld half-spaces over a finite field | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces minimal models; real rational surfaces --. --. --. --., Real rational surfaces are quasi-simple , J. Reine Angew. Math. 551 (2002), 87--99. Rational and ruled surfaces, Topology of real algebraic varieties, Families, moduli, classification: algebraic theory Real rational surfaces are quasi-simple | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rationally connected variety Kollár, J, Which are the simplest algebraic varieties?, Bull. AMS, 38, 409-433, (2001) Rational and ruled surfaces, Minimal model program (Mori theory, extremal rays) Which are the simplest algebraic varieties? | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces endomorphism ring of a Kronecker module; locally planar hyperelliptic curve; minimal number of generators Mckinnon, D.; Roth, M.: Curves arising from endomorphism rings of Kronecker modules, Rocky mountain J. Math. 37, 879-891 (2007) Plane and space curves, Endomorphism rings; matrix rings Curves arising from endomorphism rings of Kronecker modules | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces stable bundles; rational surfaces; moduli variety; birational isomorphisms Artamkin, IV, Stable bundles with \(c_1 =0\) on rational surfaces, Math. USSR-Izv., 36, 231-246, (1991) Rational and ruled surfaces Stable bundles with \(c_ 1=0\) 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 non-commutative algebraic geometry; simple modules Noncommutative algebraic geometry, Representations of quivers and partially ordered sets Geometry of noncommutative 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 rationally connected; degenerations; geometrically irreducible A. Hogadi and C. Xu, ''Degenerations of rationally connected varieties,'' Trans. Amer. Math. Soc., vol. 361, iss. 7, pp. 3931-3949, 2009. Fano varieties, Rational and ruled surfaces, Minimal model program (Mori theory, extremal rays), \(n\)-folds (\(n>4\)) Degenerations of rationally connected 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 Del Pezzo surface; 5-torsion; Brauer group; degree 1 Del Pezzo; weak approximation Rational and ruled surfaces, Brauer groups of schemes The Brauer group of Del Pezzo surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Bastianelli, F., Irrationality issues for projective surfaces, Boll. unione mat. ital., (2017), in press Families, moduli, classification: algebraic theory, Special surfaces, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Surfaces of general type, Hypersurfaces and algebraic geometry, Rational and birational maps, Coverings in algebraic geometry, Rational and unirational varieties, Rationally connected varieties Irrationality issues for 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 universal algebras; derived structures; congruences; algebraic sets Pinus, A. G., On the universal algebras with identical derived objects (congruences, algebraic sets), Sib. Elektron. Mat. Izv., 11, 752-758, (2014) Structure theory of algebraic structures, Subalgebras, congruence relations, Noncommutative algebraic geometry On the universal algebras with identical derived objects. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces lines on surfaces; Milnor numbers; ample divisor Special surfaces, Rational and ruled surfaces, Fano varieties Lines on del Pezzo surfaces with Gorenstein 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 free associative algebras; primitive elements; automorphisms of free algebras DOI: 10.1112/S002460930300225X Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Automorphisms and endomorphisms, Polynomials over commutative rings, Relevant commutative algebra Factor algebras of free algebras: on a problem of G. Bergman. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symplectic duality; symplectic resolution; quantization; quantum cohomology Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Syzygies, resolutions, complexes in associative algebras, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Rings arising from noncommutative algebraic geometry, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Parametrization (Chow and Hilbert schemes), Grassmannians, Schubert varieties, flag manifolds, Holomorphic symplectic varieties, hyper-Kähler varieties The quantum Hikita 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 non-commutative projective schemes; Serre-duality; Brown adjoint functor theorem P. Jørgensen, Serre-Duality for \(\mathrm {Tails}(A)\), Proc. Amer. Math. Soc., this issue. Noncommutative algebraic geometry, Homological functors on modules (Tor, Ext, etc.) in associative algebras, Graded rings and modules (associative rings and algebras), Rings with polynomial identity Serre-duality for Tails\((A)\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rational curve; ruled surface; rational singular curve; normalization of the tangent surface Special algebraic curves and curves of low genus, Rational and ruled surfaces, Rational and unirational varieties The tangent surfaces of a rational algebraic space 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 fibration; minimal; slope Fibrations, degenerations in algebraic geometry, Rational and ruled surfaces On the slope of relatively minimal fibrations on rational complex 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 cubic surface; lines; Picard group; finite separable extension Rational points, Rational and ruled surfaces Norms of lines on cubic surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces schemes; finite-dimensional representations; approximations; noncommutative geometry; representation functors; derived functors; representation homology Berest, Yu.; Felder, G.; Ramadoss, A.: Derived representation schemes and noncommutative geometry Derived categories and associative algebras, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Noncommutative algebraic geometry, Nonabelian homological algebra (category-theoretic aspects), Symplectic structures of moduli spaces, Noncommutative geometry (à la Connes) Derived representation schemes and noncommutative geometry. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Serre duality; non-commutative projective bundle; smooth scheme and variety; internal Hom and tensor functors Adam Nyman, Serre duality for non-commutative \Bbb P\textonesuperior -bundles, Trans. Amer. Math. Soc. 357 (2005), no. 4, 1349 -- 1416. Noncommutative algebraic geometry, Associative rings and algebras arising under various constructions, Nonabelian homological algebra (category-theoretic aspects), Resolutions; derived functors (category-theoretic aspects) Serre duality for non-commutative \({\mathbb{P}}^{1}\)-bundles | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces support filtration; exceptional sheaves; del Pezzo surfaces; Harder-Narasimhan filtration; Jordan-Hölder filtration; braid group actions Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces Rigid and exceptional sheaves on a del Pezzo surface | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces number of real lines; minimal models over \(\mathbb R\) Russo, F: The antibirational involutions of the plane and the classification of real del Pezzo surfaces. Algebraic geometry, pp. 289-312. de Gruyter, Berlin (2002) Rational and ruled surfaces, Real algebraic sets, Topology of real algebraic varieties The antibirational involutions of the plane and the classification of real 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 toric variety; toric quiver flag variety; Beilinson's theory; endomorphism algebra; tilting bundle; framed quiver moduli; algebraic torus; Young diagram; fine moduli Noncommutative algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Representations of quivers and partially ordered sets Reconstructing toric quiver flag varieties from a tilting bundle | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces curve; surface; blow up; negative self-intersection T. De Fernex, Negative curves on very general blow-ups of \mathbb{P}^{2}, Projective varieties with unexpected properties, a volume in memory of Giuseppe Veronese, De Gruyter, Berlin (2005), 199-207. Divisors, linear systems, invertible sheaves, Rational and ruled surfaces Negative curves on very general blow-ups of \(\mathbb P^2\) | 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 linear matrix inequality; completely positive; semidefinite programming; Positivstellensatz; Gleichstellensatz; Archimedean quadratic module; real algebraic geometry; free positivity; relaxation algorithm J. W. Helton, I. Klep, and S. McCullough\textit{The matricial relaxation of a linear matrix inequality}, Math. Program., 138 (2013), pp. 401--445; preprint available from . Linear inequalities of matrices, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Noncommutative algebraic geometry, Semialgebraic sets and related spaces, Semidefinite programming, Sums of squares and representations by other particular quadratic forms, Real algebra The matricial relaxation of a linear matrix inequality | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Manin's Conjecture; nonsingular quartic del Pezzo surface; order of magnitude F.-S. Leung, Manin's conjecture on a nonsingular quartic del Pezzo surface , Acta Arith. 136 (2009), 177-199. Counting solutions of Diophantine equations, Rational points, Rational and ruled surfaces Manin's conjecture on a nonsingular quartic del Pezzo surface | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces cyclotomic spectrum; cyclotomic complex; cyclotomic spectra; \(p\)-adic Hodge structure; filtered Dieudonné module; Mackey functors; \(A_\infty\)-algebras; \(A_\infty\)-functors; Connes'cyclic category; \(S^1\) equivariant spaces; derived cyclic categories; admissible groups; admissible functors \(K\)-theory and homology; cyclic homology and cohomology, Noncommutative algebraic geometry Cyclotomic 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 moduli stack; semistable sheaf; Donaldson determinant line bundle; strange duality; rational surface; quasi-bundle; infinitesimal deformation T. Abe, Deformations of rank \(2\) quasi-bundles and some strange dualities for rational surfaces , Duke Math. J. 155 (2010), 577-620. Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Stacks and moduli problems, Infinitesimal methods in algebraic geometry, Rational and ruled surfaces Deformation of rank 2 quasi-bundles and some strange dualities for 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 primitive ideals; quantum matrices; quantised enveloping algebras; Cauchon diagrams; perfect matchings; Pfaffians; rational torus actions; Gelfand-Kirillov dimension; prime ideals Bell, J., Launois, S., Nguyen, N.: Dimension and enumeration of primitive ideals in quantum algebras. J. Algebr. Comb. 29(3), 269--294 (2009) Ring-theoretic aspects of quantum groups, Ideals in associative algebras, Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations, Group actions on varieties or schemes (quotients) Dimension and enumeration of primitive ideals in quantum 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 derived category; Mukai flop; non-commutative crepant resolution; (NCCR); quiver representation; Gorenstein algebra; tilting object; tilting bundle; total spaces; double Beilinson quiver; path algebra; McKay correspondence; group representaitons; geometric resolution; algebraic resolution; multi-mutation functors Noncommutative algebraic geometry, Singularities in algebraic geometry, McKay correspondence Non-commutative crepant resolution of minimal nilpotent orbit closures of type A and Mukai flops | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 cycles; \(K\)-theory; noncommutative algebraic geometry \(K\)-theory of schemes, Noncommutative algebraic geometry, Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Noncommutative rigidity | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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; conic bundles; quaternion algebras; ramification data Finite-dimensional division rings, Forms over real fields, Quadratic forms over general fields, Skew fields, division rings, Algebraic functions and function fields in algebraic geometry, Rational and ruled surfaces Conic bundles over real formal power series field. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces M. McQuillan, An introduction to non-commutative Mori theory, In: European Congress of Mathematics, Vol. II (Barcelona, 2000), Progr. Math., 202, Birkhäuser, Basel, 2001, 47--53. Noncommutative algebraic geometry, Minimal model program (Mori theory, extremal rays), Families, moduli, classification: algebraic theory An introduction to non-commutative Mori theory | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces ruled surface; circular surface; circle; cyclide; conic bundle Nilov, F.; Skopenkov, M., A surface containing a line and a circle through each point is a quadric., Geom. Dedicata, 163, 301-310, (2013) Rational and ruled surfaces, Elementary problems in Euclidean geometries A surface containing a line and a circle through each point is a quadric | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Rational and ruled surfaces, Fano varieties Elliptic Gromov-Witten invariants of del-Pezzo surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces del Pezzo surfaces; log terminal singularity G. N. Belousov, Del Pezzo surfaces with log terminal singularities, Mat. Zametki 83 (2008), no. 2, 170 -- 180 (Russian, with Russian summary); English transl., Math. Notes 83 (2008), no. 1-2, 152 -- 161. Rational and ruled surfaces, Fano varieties, Singularities of surfaces or higher-dimensional varieties Del Pezzo surfaces with log terminal 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 noncommutative crepant resolutions; NCCR; orders; maximal Cohen Macaulay; non-singular order; derived equivalent M. Wemyss, \textit{Lectures on noncommutative resolutions}, arXiv:1210.2564 [INSPIRE]. Noncommutative algebraic geometry, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Global theory and resolution of singularities (algebro-geometric aspects) On the noncommutative Bondal-Orlov 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 log Del Pezzo surfaces; toric varieties Dais, D. I., Classification of toric log del Pezzo surfaces having Picard number 1 and index \(###\)3, Results Math., 54, 3-4, 219-252, (2009) Toric varieties, Newton polyhedra, Okounkov bodies, Rational and ruled surfaces, Computational aspects of algebraic surfaces Classification of toric log Del Pezzo surfaces having Picard number \(1\) and index \(\leq 3\) | 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 unitary equivalence; twistor space; flag manifold; del Pezzo surface Grassmannians, Schubert varieties, flag manifolds, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Twistor theory, double fibrations (complex-analytic aspects), Rational and ruled surfaces, Toric varieties, Newton polyhedra, Okounkov bodies, Canonical forms, reductions, classification, General geometric structures on manifolds (almost complex, almost product structures, etc.), Twistor methods in differential geometry Twistor geometry of the flag manifold | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 conic fibration; ample divisor; sectional genus; inflection point Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Fibrations, degenerations in algebraic geometry, Projective techniques in algebraic geometry, Questions of classical algebraic geometry Rational conic fibrations of sectional genus 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 algebraic geometry of universal algebras; algebraic sets; additive universal algebras A. G. Pinus, ''Algebras with identical algebraic sets,'' \textit{Algebra and Logic}, 54, No. 4, 316-322 (2015). Structure theory of algebraic structures, Subalgebras, congruence relations, Noncommutative algebraic geometry Algebras with identical algebraic sets. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces surfaces in \(\mathbb{P}^4\); surfaces not of general type; degree bound; syzygies; liaison; elliptic surfaces; K-3 surfaces doi:10.1112/S0024611598000082 Special surfaces, Rational and ruled surfaces, Low codimension problems in algebraic geometry, \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations Examples of smooth non-general type surfaces in \(\mathbb{P}^4\) | 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 rational surface; elliptic surface; cuspidal K3-like surface; Picard number; group of birational transformations Brian Harbourne, Automorphisms of cuspidal \?3-like surfaces, Algebraic geometry: Sundance 1988, Contemp. Math., vol. 116, Amer. Math. Soc., Providence, RI, 1991, pp. 47 -- 60. Automorphisms of surfaces and higher-dimensional varieties, \(K3\) surfaces and Enriques surfaces, Minimal model program (Mori theory, extremal rays), Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces Automorphisms of cuspidal K3-like 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 Johannes Huisman and Frédéric Mangolte, Automorphisms of real rational surfaces and weighted blow-up singularities, Manuscripta Math. 132 (2010), no. 1-2, 1 -- 17. Topology of real algebraic varieties, Rational and ruled surfaces, Birational automorphisms, Cremona group and generalizations Automorphisms of real rational surfaces and weighted blow-up 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 Computational aspects of algebraic surfaces, Rational and ruled surfaces, Topology of real algebraic varieties Illustrating the classification of real cubic surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces 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, Parametrization (Chow and Hilbert schemes) Time-space and space-times | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces interpolation; effective and movable cones; fat points; rational normal curves; secant varieties Brambilla, M.C., Dumitrescu, O., Postinghel, E: On the effective cone of \({\mathbb{P}}^n\) with \(n+3\) points. Exp. Math. \textbf{25}(4), 452-465 (2016) Divisors, linear systems, invertible sheaves, Hypersurfaces and algebraic geometry, Rational and ruled surfaces, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series On the effective cone of \(\mathbb{P}^n\) blown-up at \(n+3\) 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 Quadratic Surfaces; Polarity Rational and ruled surfaces, Projective techniques in algebraic geometry On polar tetrahedra and the curve of intersection of two second- order surfaces. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rational surface; universal torsor; Cox ring; toric variety Brendan Hassett and Yuri Tschinkel, Universal torsors and Cox rings, Arithmetic of higher-dimensional algebraic varieties (Palo Alto, CA, 2002) Progr. Math., vol. 226, Birkhäuser Boston, Boston, MA, 2004, pp. 149 -- 173. Arithmetic ground fields for surfaces or higher-dimensional varieties, Rational and ruled surfaces, Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves, Other nonalgebraically closed ground fields in algebraic geometry Universal torsors and Cox 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 linear series; point configurations; unexpected varieties; expected dimension 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 Quartic unexpected curves and surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-positive Euler characteristic; connected configurations of irreducible curves; ruled surface Veys, W.: Structure of rational open surfaces with non-positive Euler characteristic. Math. ann. 312, 527-548 (1998) Rational and ruled surfaces, Birational automorphisms, Cremona group and generalizations, Topological properties in algebraic geometry, Families, moduli, classification: algebraic theory, Global theory and resolution of singularities (algebro-geometric aspects) Structure of rational open surfaces with non-positive Euler characteristic | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Zariski decomposition; chambers; big cone; volume; del Pezzo surfaces Bauer, Th.; Schmitz, D., Volumes of Zariski chambers, J. Pure Appl. Algebra, 217, 1, 153-164, (2013) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces Volumes of Zariski chambers | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \(K3\) surfaces; automorphisms; log rational surfaces \(K3\) surfaces and Enriques surfaces, Automorphisms of surfaces and higher-dimensional varieties, Singularities of surfaces or higher-dimensional varieties, Rational and ruled surfaces, Fano varieties, Research exposition (monographs, survey articles) pertaining to algebraic geometry Automorphisms of \(K3\) surfaces and their applications | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry, Rational and ruled surfaces Nagata's conjecture for a square or nearly-square number of 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 free group algebras; centralizers; nonsingular curves; degree functions Group rings, Ordinary and skew polynomial rings and semigroup rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Families, moduli of curves (algebraic) Centralizers in free group algebras and nonsingular 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 formal deformations; presheaves of algebras; model category; Dwyer-Kan localization Gerstenhaber, M., Schack, S.D.: Algebraic cohomology and deformation theory. In: Hazewinkel, M., Gerstenhaber, M. (eds) Deformation Theory of Algebras and Structures and Applications (Il Ciocco, 1986), NATO Advance Science Institute Series C Mathematical and Physical Sciences, vol. 247, pp.~11-264. Kluwer Academic, Dordrecht (1988) (Co)homology theory in algebraic geometry, Localization of categories, calculus of fractions, Deformations and infinitesimal methods in commutative ring theory, Associative rings of functions, subdirect products, sheaves of rings, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) Deformations of sheaves of 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 moduli; reductive groups; spherical varieties; minimal model program; log minimal program; stable reductive varieties; pairs; toric varieties; abelian varieties Valery Alexeev & Michel Brion, ''Stable reductive varieties. II. Projective case'', Adv. Math.184 (2004) no. 2, p. 380-408 Fine and coarse moduli spaces, Representation theory for linear algebraic groups, Toric varieties, Newton polyhedra, Okounkov bodies, Noncommutative algebraic geometry, Minimal model program (Mori theory, extremal rays) Stable reductive varieties. II: Projective case | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces fourfolds; cubic hypersufaces; Hodge theory; quadric surfaces; rationality of cubic fourfolds Hassett, B.: Some rational cubic fourfolds. J. Algebr. Geom. 8(1), 103--114 (1999) \(4\)-folds, Rational and unirational varieties, Rational and ruled surfaces Some rational cubic fourfolds | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces invariants preserving transformations; determinant; trace; rank; R-linear transformations; survey article; Picard group; R-submodules; group schemes; exact sequence in non-abelian cohomology Determinants, permanents, traces, other special matrix functions, Research exposition (monographs, survey articles) pertaining to linear algebra, Affine algebraic groups, hyperalgebra constructions, Endomorphism rings; matrix rings Linear mappings of matrix rings preserving invariants | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces tilting bundles; derived categories; minimal log program; representation theory; weighted projective surfaces; Geigle-Lenzing orders; orders; tilting bundles associated to orders; Almost Fano weighted projective spaces; hereditary tilting bundles; n-hereditary tilting bundles Noncommutative algebraic geometry, Varieties and morphisms 2-hereditary algebras and almost Fano weighted 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 cubic surface; double-six; hexahedral form; Galois descent Andreas-Stephan Elsenhans and Jörg Jahnel, Cubic surfaces with a Galois invariant double-six, Cent. Eur. J. Math. 8 (2010), no. 4, 646 -- 661. Rational and ruled surfaces, Global ground fields in algebraic geometry Cubic surfaces with a Galois invariant double-six | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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; rational scroll Piene R., Singularities 40 (1983) Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry, Rational and ruled surfaces Singularities of some projective 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 Gabriel filter; presheaf; idempotent kernel functor; Zariski topology; left noetherian ring; structure sheaf; generalized local cohomology Bueso, J. L., Segura, M. I., and Verschoren, A., Strong stability and sheaves,Comm. Algebra 19 (1991), 2531-2545. Associative rings of functions, subdirect products, sheaves of rings, Local cohomology and algebraic geometry, Noetherian rings and modules (associative rings and algebras) Strong stability and 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 rational surface; Veronesian surface; determinantal presentation; Cohen- Macaulay; determinantal surfaces; Room surfaces; White surfaces A. Gimigliano and A. Lorenzini,On the ideal of Veronesean surfaces, Can. J. Math. 45, 758--777 (1993). Rational and ruled surfaces, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Determinantal varieties On the ideal of Veronesean 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 Clebsch surface; cubic surface; Adolf Weiler; Alfred Clebsch Mathematics and visual arts, Rational and ruled surfaces, History of algebraic geometry, Arts, music, language, architecture (aspects of mathematics education) The diagonal surface made of ceramic | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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; tritangent planes; double-sixes; Steiner sets; Steiner triple systems [9] L. Manivel. Configurations of lines and models of Lie algebras. \(J. Algebra\) 304:457-486, 2006. &MR~22 | &Zbl~1167. Exceptional (super)algebras, Rational and ruled surfaces, Steiner systems in finite geometry, Finite affine and projective planes (geometric aspects), Combinatorial structures in finite projective spaces Configurations of lines and models of Lie algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces derived categories; twisted forms; Hochschild cohomology; Brauer group Antieau, B.: Étale twists in noncommutative algebraic geometry and the twisted Brauer space Brauer groups of schemes, Algebraic moduli problems, moduli of vector bundles, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Noncommutative algebraic geometry Étale twists in noncommutative algebraic geometry and the twisted Brauer space | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Wiener's model; cubic surface; construction of a double-sixer; straight lines; equations; intersections; analytic; numerical; shape; surface of third degree Geometric constructions in real or complex geometry, Rational and ruled surfaces, Linear equations (linear algebraic aspects), Combinatorial aspects of representation theory, Enumerative problems (combinatorial problems) in algebraic geometry, Euclidean analytic geometry, Computational aspects of algebraic surfaces On Dr. Wiener's model of a cubic surface with 27 real lines; and on the construction of a double-sixer. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces polar varieties; ruled hypersurfaces; polar varieties of germs of affine varieties; local Euler's obstruction Rational and ruled surfaces, Hypersurfaces and algebraic geometry On the polar varieties of ruled hypersurfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces cohomology groups; complete linear system; monoidal transformation; Picard group; rational surface Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Vanishing theorems in algebraic geometry Complete linear systems 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 real structures; projective manifolds; automorphism groups; entropy; theorem of Tits type Rational and ruled surfaces, Automorphisms of surfaces and higher-dimensional varieties, Semialgebraic sets and related spaces On the finiteness of real structures of projective 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 Donaldson invariants; 4-manifolds; instanton invariants Kotschick, D.; Lisca, P., Instanton invariants of P\^{}\{2\} via topology, Math. Ann., 303, 345, (1995) Differential topological aspects of diffeomorphisms, Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Rational and ruled surfaces Instanton invariants of \(\mathbb{C} P^ 2\) via topology | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Grothendieck categories; noncommutative algebraic geometry; flatness; monoidal structures; exponentiability; continuous categories; quasi-coherent sheaves Noncommutative algebraic geometry, Sheaves in algebraic geometry, Topoi, Accessible and locally presentable categories, Grothendieck topologies and Grothendieck topoi, Monoidal categories, symmetric monoidal categories, Abelian categories, Grothendieck categories Exponentiable Grothendieck categories in flat 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 Okounkov bodies; Minkowski bases; Zariski decomposition; del Pezzo surfaces Divisors, linear systems, invertible sheaves, Rational and ruled surfaces Minkowski bases on algebraic surfaces with rational polyhedral pseudo-effective cone | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \(3\)-folds, Rational and ruled surfaces Rational surfaces on the quartic 3-fold | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Bernardi, A.; Catalisano, M. V.: Some defective secant varieties to osculating varieties of Veronese surfaces, Collect. math. 57, No. 1, 43-68 (2006) Rational and ruled surfaces, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Projective techniques in algebraic geometry Some defective secant varieties to osculating varieties of Veronese surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces moduli space of stable vector bundles; vector bundle over a ruled surface; Chern classes Aprodu M., Brînzănescu V., Fibrés vectoriels de rang 2 sur les surfaces réglées, C. R. Math. Acad. Sci. Paris, 1996, 323(6), 627--630 Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces Vector bundles of rank 2 on ruled surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces lc-trivial fibration; canonical bundle formula; moduli part; denominators Families, moduli, classification: algebraic theory, Rational and ruled surfaces, Fibrations, degenerations in algebraic geometry Bounds on the denominators in the canonical bundle formula | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Relativistic cosmology, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Noncommutative algebraic geometry Cosmos and its furniture | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 Cohen-Macaulay module; reconstruction algebra; singularity Wemyss, M., The \(\operatorname{GL}(2, \mathbb{C})\) McKay correspondence, Math. Ann., 350, 3, 631-659, (2011) Arcs and motivic integration, Rings arising from noncommutative algebraic geometry, Cohen-Macaulay modules, Global theory and resolution of singularities (algebro-geometric aspects) The \(\mathrm{GL}(2,{\mathbb{C}}\)) McKay correspondence | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces equisingular families of curves; prescribed singularities; fat points schemes Keilen, T.: Reducible families of curves with ordinary multiple points on surfaces in projective three-space, Comm. in algebra 34,5, 1921-1926 (2006) Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Singularities of curves, local rings, Rational and ruled surfaces Reducible families of curves with ordinary multiple points on surfaces in \(\mathbb P^{3}_{\mathrm C}\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Alexeev, Valery; Nikulin, Viacheslav V., Del Pezzo and \(K3\) surfaces, MSJ Memoirs 15, xvi+149 pp., (2006), Mathematical Society of Japan, Tokyo Research exposition (monographs, survey articles) pertaining to algebraic geometry, \(K3\) surfaces and Enriques surfaces, Rational and ruled surfaces Del Pezzo and \(K3\) surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces differential graded categories; triangulated categories; noncommutative schemes; noncommutative geometry; perfect complexes Orlov, D., \textit{smooth and proper noncommutative schemes and gluing of DG categories}, Adv. Math., 302, 59-105, (2016) Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.), Noncommutative algebraic geometry, Differential graded algebras and applications (associative algebraic aspects), Derived categories, triangulated categories, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Chain complexes (category-theoretic aspects), dg categories Smooth and proper noncommutative schemes and gluing of dg categories | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Artin-Schelter regular algebra; Auslander's theorem; small group Singularities of surfaces or higher-dimensional varieties, Twisted and skew group rings, crossed products, Actions of groups and semigroups; invariant theory (associative rings and algebras), Noncommutative algebraic geometry Actions of small groups on two-dimensional Artin-Schelter regular algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces del Pezzo surface; rational points; height; quadratic twists; elliptic curves Rational points, Global ground fields in algebraic geometry, Rational and ruled surfaces Linear growth for certain 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 stable rank 2 bundles; Brill-Noether loci; general \(\nu \)-gonal curves; Hilbert schemes Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles, Rational and ruled surfaces, Parametrization (Chow and Hilbert schemes), Special divisors on curves (gonality, Brill-Noether theory), Special algebraic curves and curves of low genus Moduli spaces of bundles and Hilbert schemes of scrolls over \(\nu \)-gonal 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 structure sheaves; spectra of noncommutative rings; torsion theoretic spectrum; dual metric; Y-order topologies J. S. Golan, ''More topologies on the torsion-theoretic spectrum of ring,''Period. Math. Hung.,21, No. 4, 257--260 (1990). Torsion theories; radicals on module categories (associative algebraic aspects), Metric spaces, metrizability, Topological lattices, Noncommutative algebraic geometry More topologies on the torsion-theoretic spectrum of a ring | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces essential dimension; finite group actions; rational surfaces Duncan, A, Finite groups of essential dimension \(2\), Comment. Math. Helv., 88, 555-585, (2013) Group actions on varieties or schemes (quotients), Birational automorphisms, Cremona group and generalizations, Rational and ruled surfaces Finite groups of essential dimension 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 Castelnuovo-Mumford regularity; secant line; rational normal surface scroll; graded Betti number Syzygies, resolutions, complexes and commutative rings, Rational and ruled surfaces, Projective techniques in algebraic geometry Remarks on curves of maximal regularity 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 adjunction; ample and spanned vector bundle; 2-very ampleness; adjoint line bunele Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Divisors, linear systems, invertible sheaves, Rational and ruled surfaces 2-very ampleness for adjoint bundles of ample and spanned vector bundles on surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Rational and ruled surfaces On gluing stability conditions on ruled surfaces of positive 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 noncommutative geometry; toric geometry; isospectral deformations; braided monoidal categories; deformations of algebraic tori; noncommutative Grassmannian; noncommutative instantons Cirio, L.S., Landi, G., Szabo, R.J.: Algebraic deformations of toric varieties. I: general constructions. Adv. Math. \textbf{246}, 33 (2013). arXiv:1001.1242 [math.QA] Noncommutative algebraic geometry, Formal methods and deformations in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies Algebraic deformations of toric varieties. I: General constructions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces D-branes; representation schemes; stacks; Azumaya algebra; Cayley-smooth order; Higgsing; un-Higgsing; thin scheme; Morita equivalence; Takeuchi eauivalence Bruyn, L, Representation stacks, D-branes and noncommutative geometry, Commun. Algebra, 40, 3636-3651, (2012) Generalizations (algebraic spaces, stacks), Trace rings and invariant theory (associative rings and algebras), Noncommutative algebraic geometry Representation stacks, D-branes and noncommutative geometry | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces minimal families of curves; weak Del Pezzo surfaces; root systems; adjunction; parametrization degree; families of conics Lubbes, N.: Families of circles on surfaces, Contributions to Algebra and Geometry, to appear. arXiv:1302.6710 Families, moduli of curves (algebraic), Rational and ruled surfaces, Toric varieties, Newton polyhedra, Okounkov bodies, Adjunction problems Minimal families of curves 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 fundamental group; Shafarevich conjecture; curves over a curve; surfaces; covering F. Bogomolov and L. Katzarkov, ''Complex projective surfaces and infinite groups,'' Geom. Funct. Anal., vol. 8, iss. 2, pp. 243-272, 1998. Homotopy theory and fundamental groups in algebraic geometry, Rational and ruled surfaces, Fundamental groups and their automorphisms (group-theoretic aspects), Coverings in algebraic geometry Complex projective surfaces and infinite groups | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rational surface; divisor; curves in a surface; number of moduli; plane curve; Castelnuovo's inequality; trigonal locus Castorena, A.; Ciliberto, C.: On a theorem of Castelnuovo and applications to moduli, Kyoto J. Math. 51, No. 3, 633-645 (2011) Rational and ruled surfaces, Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic) On a theorem of Castelnuovo and applications to moduli | 0 |
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