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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 orbifold Del Pezzo surfaces; cyclic quotient singularities; Fano polygons; mutation-equivalence classes; \(\mathbb Q\)-Gorenstein deformation classes; mirror symmetry; mutable Laurent polynomials M. Akhtar, T. Coates, A. Corti, L. Heuberger, A. Kasprzyk, A. Oneto, A. Petracci, T. Prince, K. Tveiten, Mirror symmetry and the classification of orbifold del Pezzo surfaces. \textit{Proc. Amer. Math. Soc}. \textbf{144} (2016), 513-527. MR3430830 Zbl 06548665 Mirror symmetry (algebro-geometric aspects), Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Rational and ruled surfaces, Fano varieties Mirror symmetry and the classification of orbifold 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 gonality; Clifford index; ruled surface; multiple covering; Castelnuovo-Severi inequality; gonality sequence Harrison, M.C.: Explicit solution by radicals, gonal maps and plane models of algebraic curves of genus 5 or 6, preprint arXiv:1103.4946 (2011) Special divisors on curves (gonality, Brill-Noether theory), Rational and ruled surfaces, Special algebraic curves and curves of low genus Gonality and Clifford index of projective curves 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 bi-conservative surface; geodesic Frenet trihedron; shape operator Curves in Euclidean and related spaces, Surfaces in Euclidean and related spaces, Rational and ruled surfaces Study on BCN and BAN ruled surfaces in \(\mathbb{E}^3 \) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces infinite fields; vector spaces; Procesi's conjecture; invariants of several matrices A.N. Zubkov.: Endomorphisms of tensor products of exterior powers and Procesi hypothesis. Commun. Algebra 22, 6385--6399 (1994) Representation theory for linear algebraic groups, Endomorphism rings; matrix rings, Combinatorial aspects of representation theory, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Geometric invariant theory Endomorphisms of tensor products of exterior powers and Procesi hypothesis | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces dg orbit category; \(\mathbb{A}^1\)-homotopy; algebraic \(K\)-theory; cluster category; Kleinian singularities; Fourier-Mukai transform; noncommutative algebraic geometry Tabuada, G., \(\mathbb{A}^1\)-homotopy invariants of dg orbit categories, J. algebra, 434, 169-192, (2015) Cluster algebras, Noncommutative algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Karoubi-Villamayor-Gersten \(K\)-theory, Negative \(K\)-theory, NK and Nil, \(K\)-theory and homology; cyclic homology and cohomology \(\mathbb{A}^1\)-homotopy invariants of dg orbit 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 Real algebraic sets, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Rational and ruled surfaces Welschinger invariants revisited | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 Brauer group; secondary \(K\)-theory; noncommutative motives; noncommutative algebraic geometry Brauer groups (algebraic aspects), Noncommutative algebraic geometry, Brauer groups of schemes, Grothendieck groups, \(K\)-theory, etc., Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Enriched categories (over closed or monoidal categories), \(K_2\) and the Brauer group, Singularities of curves, local rings Embedding of the derived Brauer group into the secondary \(K\)-theory 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 Lie supergroups; homogeneous supermanifolds; Killing spinors; supergravity; superconnection DOI: 10.1007/s12188-009-0031-2 Spin and Spin\({}^c\) geometry, Lie algebras of vector fields and related (super) algebras, Supermanifolds and graded manifolds, Differential geometry of homogeneous manifolds, Noncommutative algebraic geometry, Supervarieties, Complex supergeometry Superization of homogeneous spin manifolds and geometry of homogeneous supermanifolds | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces generalised Witt algebra; intermediate series representation; idealizer Graded rings and modules (associative rings and algebras), Universal enveloping (super)algebras, Noncommutative algebraic geometry Generalised Witt algebras and idealizers | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces geometrically rational surface; cylinder; perfect field; elementary link Rational and birational maps, Minimal model program (Mori theory, extremal rays), Rational and ruled surfaces, Affine fibrations Notes on cylinders in smooth 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 matrix factorizations; periodic cyclic homology; residue pairing Noncommutative algebraic geometry, Singularities in algebraic geometry, Differential graded algebras and applications (associative algebraic aspects), (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Complex surface and hypersurface singularities, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants Matrix factorizations and higher residue pairings | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces birational geometry; Brauer discrepancy; terminal resolution B. Nanayakkara, Terminal resolutions of Brauer pairs, PhD thesis, University of New Brunswick, 2010. Brauer groups of schemes, Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays) Existence of terminal resolutions of geometric Brauer pairs of arbitrary dimension | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Cremona group; conic bundle Birational automorphisms, Cremona group and generalizations, Rational and ruled surfaces, Automorphisms of surfaces and higher-dimensional varieties, Finite automorphism groups of algebraic, geometric, or combinatorial structures Equations of \(G\)-minimal conic bundles | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces generating sets; relatively free solvable groups; elementary theories; test elements Quasivarieties and varieties of groups, Solvable groups, supersolvable groups, Model-theoretic algebra, Noncommutative algebraic geometry, Generators, relations, and presentations of groups, Automorphisms of infinite groups First-order definability and algebraicity of the sets of annihilating and generating collections of elements for some relatively free solvable 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 noncommutative algebraic geometry; derived noncommutative schemes; differential graded algebras; triangulated categories; noncommutative motives Noncommutative algebraic geometry, Differential graded algebras and applications (associative algebraic aspects), Derived categories and associative algebras Proper connective differential graded algebras and their geometric realizations | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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; tame automorphisms; wild automorphisms; Anick automorphism; automorphism groups; monic automorphisms; Jacobian matrix Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Automorphisms and endomorphisms, Polynomial rings and ideals; rings of integer-valued polynomials, Birational automorphisms, Cremona group and generalizations, Jacobian problem On tame and wild automorphisms 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 deformation quantization; gerbe; Fourier-Mukai transform; analytic sheaves Jiang, Z.: Varieties with \(q(X)=\dim (X)\) and \(P_2(X)=2\). Ann. Sc. Norm. Super. Pisa Cl. Sci. \textbf{XI}, 243-258 (2012) Noncommutative algebraic geometry, Deformation quantization, star products, Generalizations (algebraic spaces, stacks), Noncommutative geometry (à la Connes) Non-commutative tori and Fourier-Mukai duality | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces t-structure; torsion theory; perverse coherent sheaves; noncommutative projective planes Vitória, J., Perverse coherent t-structures through torsion theories, Algebr. Represent. Theory, 17, 4, 1181-1206, (2014) Derived categories and commutative rings, Torsion theory for commutative rings, Derived categories and associative algebras, Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras) Perverse coherent t-structures through torsion theories | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces affine cone; ample divisor; cylinder; del Pezzo surface; infinitely transitive action; flexible variety Park, J.; Won, J., Flexible affine cones over del Pezzo surfaces of degree 4, Eur. J. Math., 2, 304-318, (2016) Rational and ruled surfaces, Group actions on affine varieties, Affine fibrations Flexible affine cones over del Pezzo surfaces of degree 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 hyperelliptic curves; Jacobian varieties; osculating covers A. Treibich, Hyperelliptic \(d\)-osculating covers and rational surfaces, http://premat.fing.edu.uy/papers/2012/144.pdf. Jacobians, Prym varieties, Theta functions and curves; Schottky problem, Elliptic curves, Relationships between algebraic curves and physics, Rational and ruled surfaces Hyperelliptic \(d\)-osculating covers and 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 Kojima, H, [supplement to ``normal del Pezzo surfaces of rank one with log canonical singularities'' by H. kojima and T. Takahashi, J. algebra \textbf{360} (2012) 53-70], J. Algebra, 377, 312-316, (2013) Rational and ruled surfaces, Singularities of surfaces or higher-dimensional varieties Supplement to ``Normal del Pezzo surfaces of rank one with log canonical singularities'' by H. Kojima and T. Takahashi [J. Algebra 360 (2012) 53-70] | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces finite geometry; cubic surface; Eckardt point; classification; normal form Combinatorial aspects of finite geometries, Group actions on combinatorial structures, Rational and birational maps, Rational and ruled surfaces, Other finite nonlinear geometries The Eckardt point configuration of cubic surfaces revisited | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces local Pfister conjecture; fields of rational functions Finite-dimensional division rings, Quadratic forms over general fields, Forms over real fields, Brauer groups (algebraic aspects), Skew fields, division rings, Algebraic functions and function fields in algebraic geometry, Rational and ruled surfaces Quaternionicity of \(\Omega\)-algebras with special ramification. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces deformation theory; Koszul duality; prorepresenting objects; derived quotient Infinitesimal methods in algebraic geometry, Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.), Noncommutative algebraic geometry, Formal neighborhoods in algebraic geometry, Homotopical algebra, Quillen model categories, derivators, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry The derived deformation theory of a point | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces algebraic geometric codes, anticanonical embeddings; del Pezzo surfaces; finite field Applications to coding theory and cryptography of arithmetic geometry, Rational and ruled surfaces, Geometric methods (including applications of algebraic geometry) applied to coding theory Anticanonical codes from del Pezzo surfaces with Picard rank 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 noncommutative algebra; noncommutative projective schemes; derived categories; Fourier-Mukai transforms Noncommutative algebraic geometry, Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.), Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Derived categories and associative algebras Kernels for noncommutative projective schemes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces hyperplane sections; very ample line bundle; spanned line bundle; general position; projective classification of algebraic surfaces; geometrically ruled surfaces Biancofiore A., Pacific Journal of Mathematics 143 pp 9-- (1990) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces On the hyperplane sections of ruled surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces fine moduli; super Riemann surfaces with a level-\(n\) structure; algebraic superspace Supervarieties, Noncommutative algebraic geometry, Fine and coarse moduli spaces, Riemann surfaces; Weierstrass points; gap sequences Global structures for the moduli of (punctured) super Riemann 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 cancellation conjecture of Zariski; algebras of rank two; polynomial algebras; free associative algebras; centralizers; Jacobians; algebraic dependence Drensky, V.; Yu, J.-T., A cancellation conjecture for free associative algebras, Proc. Amer. Math. Soc., 136, 3391-3394, (2008) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Morphisms of commutative rings, Polynomial rings and ideals; rings of integer-valued polynomials, Jacobian problem, Ordinary and skew polynomial rings and semigroup rings, Automorphisms and endomorphisms A cancellation conjecture for free associative algebras. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces del Pezzo surface; unirationality C. Salgado, D. Testa, A. Várilly-Alvarado, On the unirationality of del Pezzo surfaces of degree 2. J. Lond. Math. Soc. (2) 90(1), 121-139 (2014) Rationality questions in algebraic geometry, Varieties over finite and local fields, Rational and ruled surfaces On the unirationality of del Pezzo surfaces of degree 2 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quadratic residue curve; Mordell-Weil group Coverings in algebraic geometry, Coverings of curves, fundamental group, Plane and space curves, Rational and ruled surfaces A note on quadratic residue curves on rational 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 J. Blanc and F. Mangolte, ''Cremona groups of real surfaces'' inAutomorphisms in Birational and Affine Geometry, Springer Proc. Math. Stat.79, Springer, Cham, 2014, 35--58. Birational automorphisms, Cremona group and generalizations, Topology of real algebraic varieties, Rational and ruled surfaces Cremona groups of real surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces symmetric group of degree 4; ADE singularities; plane rational quartics; \(K3\) surfaces Kulikov, Vik. S., Plane rational quartics and K3 surfaces, Proc. Steklov Inst. Math., 294, 105-140, (2016) \(K3\) surfaces and Enriques surfaces, Rational and ruled surfaces Plane rational quartics 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 Rational and ruled surfaces, Rational and birational maps Potentially stably rational del Pezzo surfaces over nonclosed fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces AS-regular algebras; Calabi-Yau algebras; elliptic curves; geometric algebras; Koszul algebras; superpotentials Graded rings and modules (associative rings and algebras), Quadratic and Koszul algebras, Noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) AS-regularity of geometric algebras of plane cubic 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 Einstein moduli space; del Pezzo manifold; Kodaira embedding theorem; Euler characteristic; Todd genus; signature; integral cohomology class, Betti number; Stiefel-Whitney class Special Riemannian manifolds (Einstein, Sasakian, etc.), Rational and ruled surfaces, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Global differential geometry of Hermitian and Kählerian manifolds Einstein metrics, conformal curvature, and anti-holomorphic involutions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces moduli spaces of vector bundles; projective curves; stability Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Families, moduli of curves (algebraic), Rational and ruled surfaces, Algebraic moduli problems, moduli of vector bundles Non-globally generated bundles on 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 Brauer--Manin obstruction; Hasse principle; del Pezzo surface A. Logan, The Brauer-Manin obstruction on del Pezzo surfaces of degree \( 2\) branched along a plane section of a Kummer surface, preprint, 2007. Global ground fields in algebraic geometry, Rational and ruled surfaces, Brauer groups of schemes The Brauer-Manin obstruction on del Pezzo surfaces of degree 2 branched along a plane section of a Kummer 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 simple bihyperelliptic surfaces; minimal surface of general type; Chern class; divisibility; homeomorphic but not diffeomorphic surfaces M Manetti, On some components of moduli space of surfaces of general type, Compositio Math. 92 (1994) 285 Surfaces of general type, Families, moduli, classification: algebraic theory, Rational and ruled surfaces, Differentiable mappings in differential topology On some components of moduli space of surfaces of general type | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces monodromy; elliptic curve; hyperelliptic curve; \(j\)-invariant; braid; del Pezzo surface Structure of families (Picard-Lefschetz, monodromy, etc.), Elliptic curves, Rational and ruled surfaces On monodromy in families of elliptic curves over \(\mathbb{C}\) | 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 Calabi-Yau threefolds; fiber product of relatively minimal rational elliptic surfaces with section; automorphisms of rational elliptic surfaces; group actions; non-simply connected Calabi-Yau threefolds; fixed points Automorphisms of surfaces and higher-dimensional varieties, \(3\)-folds, Calabi-Yau manifolds (algebro-geometric aspects), Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces Non-simply connected Calabi-Yau threefolds constructed as quotients of Schoen threefolds | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative polynomials; Kaplansky conjecture; quaternion algebra Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Noncommutative algebraic geometry, Ordinary and skew polynomial rings and semigroup rings The images of noncommutative polynomials evaluated on the quaternion algebra | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Seshadri constants; linear series; symbolic powers; Fujita conjecture; local positivity; slope stability T. Bauer, S. Di Rocco, B. Harbourne, M. Kapustka, A. L. Knutsen, W. Syzdek and T. Szemberg, A primer on Seshadri constants, in \textit{Interactions of Classical and Numerical Algebraic Geometry}, Contemporary Mathematics, 496, Amer. Math. Soc., Providence, RI, 2009, 33-70. Divisors, linear systems, invertible sheaves, Embeddings in algebraic geometry, Rational and ruled surfaces, Toric varieties, Newton polyhedra, Okounkov bodies A primer on Seshadri constants | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rational surfaces; sectional genus; degree of parameterization; adjunction Schicho, J.: A degree bound for the parameterization of a rational surface. J. Pure Appl. Alg. 145, 91--105 (1999) Rational and ruled surfaces, Computational aspects of algebraic surfaces, Rational and unirational varieties A degree bound for the parametrization of a rational surface | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hecke algebras; Morita equivalence Anne-Marie Aubert, Paul Baum, and Roger Plymen, The Hecke algebra of a reductive \?-adic group: a geometric conjecture, Noncommutative geometry and number theory, Aspects Math., E37, Friedr. Vieweg, Wiesbaden, 2006, pp. 1 -- 34. Noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Module categories in associative algebras, Ordinary representations and characters, Hecke algebras and their representations The Hecke algebra of a reductive \(p\)-adic group: a geometric 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 Rationally connected varieties, Rational and ruled surfaces Smooth rational curves on singular 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 tight closure; plus closure; solid closure; elliptic curve; vector bundle; characteristic \(p\) DOI: 10.1017/S0027763000009041 Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Elliptic curves, Vector bundles on curves and their moduli, Rational and ruled surfaces, Integral closure of commutative rings and ideals Tight closure and plus closure for cones over elliptic 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 Classical problems, Schubert calculus, Rational and ruled surfaces, Syzygies, resolutions, complexes and commutative rings, Fano varieties A note on the intersection 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 \(q\)-normal operator; \(\ast\)-algebra; quantum complex plain; Positivstellensatz; moment problem J. Cimprič, Y. Savchuk and K. Schmüdgen, On \(q\)-normal operators and quantum complex plane, Trans. Amer. Math. Soc. 366 (2014), 135--158. Noncommutative algebraic geometry, Real algebraic and real-analytic geometry, Rings with involution; Lie, Jordan and other nonassociative structures, Noncommutative function spaces, Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Algebras of unbounded operators; partial algebras of operators On \(q\)-normal operators and the quantum complex plane | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces line bundles; curves; gonality; higher order embeddings Rational and ruled surfaces, Special divisors on curves (gonality, Brill-Noether theory) Higher order birational embeddings 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 S. KITAGAWA, On Mordell-Weil lattices of bielliptic fibrations on rational surfaces, J. Math. Soc. Japan, 57 (2005), pp. 137-155. Zbl1093.14051 MR2114725 Rational and ruled surfaces, Fibrations, degenerations in algebraic geometry On Mordell-Weil lattices of bielliptic fibrations 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 tetrahedra; trigonometry; rational elliptic surface Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Elementary problems in hyperbolic and elliptic geometries Rational elliptic surfaces and the trigonometry of tetrahedra | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Bordiga surface; set-theoretical complete intersection; double structure Rathmann, J.: Double structures on bordiga surfaces. Comm. algebra 17, 2363-2391 (1989) Rational and ruled surfaces, Complete intersections Double structures on Bordiga surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces complex algebraic surfaces; surfaces of general type; pluricanonical maps; intersection theory; singularities; complex manifolds Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, 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, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to several complex variables and analytic spaces, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Compact complex surfaces, Transcendental methods of algebraic geometry (complex-analytic aspects), Research exposition (monographs, survey articles) pertaining to algebraic geometry, History of algebraic geometry, Collected or selected works; reprintings or translations of classics Theory of algebraic surfaces. Translated from the Japanese by Kazuhiro Konno. Notes taken by Shigeho Yamashima | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hirzebruch surfaces; rational surfaces; effective monoid; Cox Rings Rational and ruled surfaces, Divisors, linear systems, invertible sheaves, Picard groups, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Effectivity, complexity and computational aspects of algebraic geometry Platonic Harbourne-Hirschowitz 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 Bernardi A.: Ideals of varieties parameterizing certain symmetric tensors. J. P. A. Algebra 212(6), 1542--1559 (2008) Projective techniques in algebraic geometry, Rational and ruled surfaces, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) Ideals of varieties parameterized by certain symmetric tensors | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces plane quartic; Cayley octad; degree two del Pezzo surface Arithmetic ground fields for curves, Arithmetic ground fields for surfaces or higher-dimensional varieties, Rational and ruled surfaces, Fano varieties, Varieties over global fields On plane quartics with a Galois invariant Cayley octad | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces multivariable operator theory; Berezin transform; noncommutative polydomain; noncommutative variety; free holomorphic function; Fock space; invariant subspace; dilation theory; characteristic function G. Popescu, Berezin transforms on noncommutative polydomains, preprint (2013), ; to appear in Trans. Amer. Math. Soc. Canonical models for contractions and nonselfadjoint linear operators, Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Several-variable operator theory (spectral, Fredholm, etc.), Noncommutative algebraic geometry Berezin transforms on noncommutative varieties in polydomains | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces central simple algebras; Henselian fields; quaternion algebras; conic bundle surfaces; real closed fields; ramification; Fadeev reciprocity law Finite-dimensional division rings, Quadratic forms over general fields, Forms over real fields, Brauer groups (algebraic aspects), Skew fields, division rings, Algebraic functions and function fields in algebraic geometry, Rational and ruled surfaces \(\Omega\)-algebras over Henselian discrete valued fields with real closed residue field. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces cancellation conjecture; Danielewski surfaces Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Actions of groups on commutative rings; invariant theory, Rational and ruled surfaces Factorial affine \(G_{\alpha}\)-varieties isomorphic to hypersurfaces of Danielewski type | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces tilting theory; toric geometry; quiver algebra; derived category; tilting sheaf; tilting bundle; toric Fano variety; full strong exceptional collection of sheafs N. Prabhu-Naik, Tilting bundles on toric Fano fourfolds, J. Algebra, 471 (2017), 348--398. Noncommutative algebraic geometry, Cluster algebras, Homogeneous spaces Tilting bundles on toric Fano 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 Equisingularity (topological and analytic), Noncommutative algebraic geometry, Group actions on varieties or schemes (quotients), Poisson manifolds; Poisson groupoids and algebroids Equivariant slices for symplectic cones | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces moduli spaces; surfaces; compactification; stable pairs Families, moduli, classification: algebraic theory, Fibrations, degenerations in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces, \(K3\) surfaces and Enriques surfaces, Minimal model program (Mori theory, extremal rays) ADE surfaces and their moduli | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Krichever varieties; elliptic soliton; spectral-curve correspondence; Higgs pairs; commuting Hamiltonians Treibich, A. and Verdier, J.-L. , Variétés de Kritchever des Solitons Elliptiques de KP , Preprint. Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, KdV equations (Korteweg-de Vries equations), Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Soliton equations, Elliptic curves, Rational and ruled surfaces Krichever varieties of elliptic KP solitons | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces projective 5-space; Picard group; minimal rational smooth threefolds; minimal Fano varieties; minimal Del Pezzo fibrations \(3\)-folds, Picard groups, Rational and ruled surfaces On the non existence of some rational 3-folds in \(\mathbb{P}^ 5\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \({\alpha}\)-invariant of Tian; del Pezzo surface; \(K\)-stability Fano varieties, Rational and ruled surfaces, Notions of stability for complex manifolds On a conjecture of Hong and Won | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Mori fibration; del Pezzo surface; rationality Fibrations, degenerations in algebraic geometry, Families, moduli, classification: algebraic theory, Rational and ruled surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli On nonrational fibers of del Pezzo fibrations over 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 deformation theory; quasi-coherent modules; projective schemes Lowen, W.: Grothendieck categories and their deformations with an application to schemes. Mat. contemp. 41, 27-48 (2012) Noncommutative algebraic geometry, Module categories in associative algebras, Deformations of associative rings Grothendieck categories and their deformations with an application to schemes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces ruled surface; embedded resolution; motivic zeta function Global theory and resolution of singularities (algebro-geometric aspects), Rational and ruled surfaces, Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Modifications; resolution of singularities (complex-analytic aspects) Ruled exceptional surfaces and the poles of motivic zeta functions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Cremona group; birational map; del Pezzo surface Bogomolov, F.; Prokhorov, Yu., On stable conjugacy of finite subgroups of the plane Cremona group. I, Cent. Eur. J. Math., 11, 12, 2099-2105, (2013) Birational automorphisms, Cremona group and generalizations, Rational and ruled surfaces, Automorphisms of surfaces and higher-dimensional varieties On stable conjugacy of finite subgroups of the plane Cremona group. I | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces wild \(p\)-cyclic action; surface with zero geometric genus and irregularity; \(p\)-torsion of elliptic surface Keum, J, Wild \(p\)-cyclic actions on smooth projective surfaces with \(p_g=q=0\), J. Algebra, 244, 45-58, (2001) Automorphisms of surfaces and higher-dimensional varieties, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Global theory and resolution of singularities (algebro-geometric aspects) Wild \(p\)-cyclic actions on smooth projective surfaces with \(p_g=q=0\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Surface of Steiner; surface of Goursat; surface of Kummer; platonic bodies; symmetry. Surfaces of general type, Rational and ruled surfaces, Computational aspects of algebraic surfaces Surfaces in the style of J. Steiner et al. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces systems of equations; Diophantine sets; definable sets; equationality; free groups; hyperbolic groups; JSJ decompositions; limit groups; model theory; stability; Tarski problems Sela, Z., ''Diophantine geometry over groups, VIII: Stability,'' Annals of Mathematics (2), vol. 177 (2013), 787--868. Algebraic geometry over groups; equations over groups, Hyperbolic groups and nonpositively curved groups, Free nonabelian groups, Classification theory, stability, and related concepts in model theory, Decidability of theories and sets of sentences, Basic properties of first-order languages and structures, Model-theoretic algebra, Applications of logic to group theory, Noncommutative algebraic geometry, Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) Diophantine geometry over groups. VIII: Stability. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hirzebruch surface; rational normal curve; curve in a rational ruled surface Di Gennaro R.: On the structure of the Hartshorne-Rao module of curves on surfaces of minimal degree. Comm. Algebra 33(8), 2749--2763 (2005) Plane and space curves, Rational and ruled surfaces, Divisors, linear systems, invertible sheaves, Linkage On the structure of the Hartshorne -- Rao module of curves on surfaces of minimal degree | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Lie algebra; free product; amalgamated free product; zero divisors; equation over a Lie algebra I. V. Chirkov and M. A. Shevelin, ''Zero divisors in amalgamated free products of Lie algebras,'' Sib. Math. J., 45, No. 1, 188--195 (2004). Identities, free Lie (super)algebras, Noncommutative algebraic geometry Zero divisors in amalgamated free products 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 Cayley-Salmon equations; 27 lines; cubic surfaces Projective techniques in algebraic geometry, Rational and ruled surfaces A short note on Cayley-Salmon equations | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces automorphisms of rational surfaces; attracting basins; Julia sets; Nagata's theorem C. McMullen, \(Dynamics on blowups of the projective plane\), Publ. Math. I.H.E.S. 105, 49-89 (2007) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets, Entropy and other invariants, isomorphism, classification in ergodic theory, Rational and ruled surfaces Dynamics on blowups of the projective plane | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces embedding; very ample divisor; conic bundle; Del Pezzo surface Embeddings in algebraic geometry, Divisors, linear systems, invertible sheaves, Rational and ruled surfaces Geometry of \(\mathbb{P}^{2}\) blown up at seven 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 Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Derived categories and associative algebras, Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc., Quadratic and Koszul algebras, Rings arising from noncommutative algebraic geometry, Derived categories, triangulated categories Embeddings of algebras in derived categories of 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 Rationality questions in algebraic geometry, Birational automorphisms, Cremona group and generalizations, Rational and ruled surfaces, Fibrations, degenerations in algebraic geometry, Families, moduli, classification: algebraic theory On birational rigidity of singular del Pezzo fibrations of degree 1 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces intersection homology; quotient variety of stable hypersurfaces; evaluate the Betti numbers; intersection Betti numbers; intersection Poincaré polynomial F. Kirwan, ''Moduli spaces of degree \(d\) hypersurfaces in \({\mathbf P}_n\),'' Duke Math. J., vol. 58, iss. 1, pp. 39-78, 1989. (Co)homology theory in algebraic geometry, Geometric invariant theory, Families, moduli, classification: algebraic theory, Group actions on varieties or schemes (quotients), \(K3\) surfaces and Enriques surfaces, Rational and ruled surfaces, Algebraic moduli problems, moduli of vector bundles Moduli spaces of degree d hypersurfaces in \({\mathbb{P}}_ n\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Gorenstein del Pezzo surfaces; automorphism groups; action of finite group; canonical divisor D.-Q. Zhang, Automorphisms of finite order on Gorenstein del Pezzo surfaces , Trans. Amer. Math. Soc. 354 (2002), 4831-4845. JSTOR: Automorphisms of surfaces and higher-dimensional varieties, Rational and ruled surfaces Automorphisms of finite order on Gorenstein 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 general linear supergroup; Borel-Weil-Bott theorem; Kempf's vanishing theorem A. N. Zubkov, \textit{Some homological properties of} GL(\(m\)|\(n\)) \textit{in arbitrary characteristic}, J. Algebra Appl. \textbf{15} (2016), no. 7, 1650119, 26 pp. Supervarieties, Noncommutative algebraic geometry, Group schemes Some homological properties of \(\mathrm{GL}(m|n)\) in arbitrary 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 weighted noncommutative regular projective curve; tilting sheaf; resolving class; Prüfer sheaf; noncommutative curve of genus zero; domestic curve; tubular curve; noncommutative elliptic curve; slope of quasicoherent sheaf; Grothendieck category; tube; large sheaf; recollement of triangulated category Angeleri Hügel, L., Kussin, D.: Large tilting sheaves over weighted noncommutative regular projective curves (2016). Preprint arXiv:1508.03833 Noncommutative algebraic geometry, Special algebraic curves and curves of low genus, Elliptic curves, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers Large tilting sheaves over weighted noncommutative regular projective 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 differential operators; global optimization; semidefinite programming; noncommutative real algebraic geometry Jaka Cimprič, A method for computing lowest eigenvalues of symmetric polynomial differential operators by semidefinite programming, J. Math. Anal. Appl. 369 (2010), no. 2, 443 -- 452. Semidefinite programming, Nonconvex programming, global optimization, Numerical mathematical programming methods, Noncommutative algebraic geometry A method for computing lowest eigenvalues of symmetric polynomial differential operators by semidefinite programming | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Cheltsov, I.: Del Pezzo surfaces and local inequalities. In: Automorphisms in Birational and Affine Geometry. Springer Proc. Math. Stat., vol.~\textbf{79}, Springer, Cham, pp.~83-101 (2014) Rational and ruled surfaces, Rational and birational maps, Fano varieties, Computational aspects of algebraic surfaces, Kähler-Einstein manifolds Del Pezzo surfaces and local inequalities | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Cremona group; finite group action; rational surface; symplectomorphism group Birational automorphisms, Cremona group and generalizations, Symplectic structures in 4 dimensions, Rational and ruled surfaces, Finite transformation groups, Symplectic and contact topology in high or arbitrary dimension, Global theory of symplectic and contact manifolds Symplectic rational \(G\)-surfaces and equivariant symplectic cones | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \(W\)-algebra; Hecke algebra; AGT conjecture; gauge theory; equivariant cohomology; Hecke correspondence; Heisenberg subalgebra; Virasoro subalgebra; Sekiguchi operators O. Schiffmann and E. Vasserot, \textit{Cherednik algebras, W algebras and the equivariant cohomology of the moduli space of instantons on A}2, arXiv:1202.2756. Noncommutative algebraic geometry, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), String and superstring theories; other extended objects (e.g., branes) in quantum field theory Cherednik algebras, \(W\)-algebras and the equivariant cohomology of the moduli space of instantons on \(\mathbb A^2\) | 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 quadratic; quartic surfaces Rational and ruled surfaces, Hypersurfaces and algebraic geometry Solution of the question 2553 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces External book reviews, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Schemes and morphisms, Generalizations (algebraic spaces, stacks), Noncommutative algebraic geometry, Finite ground fields in algebraic geometry, Witt vectors and related rings, Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses, Arithmetic varieties and schemes; Arakelov theory; heights, \(K\)-theory of schemes, Collections of articles of miscellaneous specific interest Book review of: K. Thas (ed.), Absolute arithmetic and \(\mathbb{F}_1\)-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 trivial tricanonical divisors; log Enriques surface Zhang D.-Q.: Normal Algebraic Surfaces with trivial tricanonical divisors. Publ. RIMS. Kyoto Univ. 33, 427--442 (1997) \(K3\) surfaces and Enriques surfaces, Divisors, linear systems, invertible sheaves, Rational and ruled surfaces Normal algebraic surfaces with trivial tricanonical divisors | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces general blowing-up of the projective plane; Alexander's conjecture Stéphane Chauvin and Cindy De Volder, Some very ample and base point free linear systems on generic rational surfaces, Math. Nachr. 245 (2002), 45 -- 66. , https://doi.org/10.1002/1522-2616(200211)245:13.0.CO;2-L Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Vanishing theorems in algebraic geometry Some very ample and base point free linear systems on generic rational surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Lines of curvatures; surfaces of the \(2^nd\) order; section; infinitely remote; imaginary circle; main plane; axes; Monge's theorem; tangent; generatrices Surfaces in Euclidean and related spaces, Special algebraic curves and curves of low genus, Complex multiplication and moduli of abelian varieties, Euclidean analytic geometry, Polar geometry, symplectic spaces, orthogonal spaces, Projective analytic geometry, Rational and ruled surfaces On the curvature lines of the 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 eigenpoints of tensors; cubic surfaces; Grassmannians Rational and ruled surfaces, Grassmannians, Schubert varieties, flag manifolds, Eigenvalues, singular values, and eigenvectors, Multilinear algebra, tensor calculus On the eigenpoints of 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 highest order form; surface implicitization; rational surface Rational and ruled surfaces, Computational aspects of algebraic surfaces, Rational and birational maps, Surfaces of general type, Hypersurfaces and algebraic geometry Computing the form of highest degree of the implicit equation of a rational surface | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces double planes; rational surfaces; Cremona transformations A. Calabri, On rational and ruled double planes, Ann. Mat. Pura Appl. 181 (2002), 365--387. Rational and ruled surfaces, Birational automorphisms, Cremona group and generalizations On rational and ruled double planes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hochschild homology; split pairs; monomial algebras; quantum complete intersections; Hochschild cohomology Petter Andreas Bergh and Dag Madsen, Hochschild homology and split pairs, Bull. Sci. Math. 134 (2010), no. 7, 665 -- 676. (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Rings arising from noncommutative algebraic geometry, Complete intersections Hochschild homology and split pairs. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces path algebra of a quiver; Karoubi-de Rham complex; noncommutative symplectic manifold Noncommutative geometry (à la Connes), Noncommutative algebraic geometry, Methods of noncommutative geometry in general relativity, Representations of quivers and partially ordered sets Noncommutative symplectic manifolds for self-injective Nakayama 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 sextic surface; triple point; Cremona transformation Singularities of surfaces or higher-dimensional varieties, Families, moduli, classification: algebraic theory, Rational and ruled surfaces Sextic surfaces with 10 triple 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 twistor space; geometric quantization; non-commutative deformation; Connes-Landi technique; Hopf fibration; Gerstenhaber-Schack deformation; Donaldson-Friedman glueing Noncommutative algebraic geometry, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) Gluing non-commutative twistor spaces | 0 |
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