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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 noncommutative geometry; ample sequence; AZ-theorem A. Polishchuk, Noncommutative proj and coherent algebras. Math. Res. Lett. 12 (2005), 63-74. Noncommutative algebraic geometry Noncommutative proj and coherent 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 D-branes; differential geometry; algebraic geometry Addington, N., Aspinwall, P.S.: Categories of massless D-branes and del Pezzo surfaces. J. High Energy Phys. \textbf{7}, 176 (2013) String and superstring theories in gravitational theory, Relationships between surfaces, higher-dimensional varieties, and physics, Rational and ruled surfaces Categories of massless D-branes and del Pezzo surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative geometry; noncommutative deformation of scheme; noncommutative schemes; operator algebras; crossed products; category of quasi-coherent sheaves Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Noncommutative algebraic geometry, Noncommutative differential geometry, Noncommutative topology Constructions on non commutative schemes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces distinct distances; ruled surfaces; doubly ruled surfaces; Szemerédi-Trotter theorem Guth, L.: Ruled surface theory and incidence geometry. arXiv:1606.07682 (2016) Rational and ruled surfaces, Erdős problems and related topics of discrete geometry, Linear incidence geometry Ruled surface theory and incidence 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 smooth rational surfaces; anticanonical divisor; anticanonical rational surfaces; points in general position; Picard group; blowing-up; monoid of effective divisor classes Failla G., Lahyane M., Molica Bisci G.: The finite generation of the monoid of effective divisor classes on Platonic rational surfaces, pp. 565--576. World Sci. Publ., Hackensack (2007) Rational and ruled surfaces, Divisors, linear systems, invertible sheaves The finite generation of the monoid of effective divisor classes on platonic 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 commutative rings; DG algebras; derived categories; rigid complexes Yekutieli, A., Zhang, J.J.: Rigid complexes via DG algebras. Trans. AMS 360, 3211--3248 (2008) Resolutions; derived functors (category-theoretic aspects), Differential graded algebras and applications (associative algebraic aspects), Ext and Tor, generalizations, Künneth formula (category-theoretic aspects), Noncommutative algebraic geometry Rigid complexes via DG 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 Veronese surface; rational normal scroll; Del Pezzo surface; double point Russo, F, On a theorem of Severi, Math. Ann., 316, 1-17, (2000) Projective techniques in algebraic geometry, Rational and ruled surfaces On a theorem of Severi | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 differential form; Gerstenhaber-Voronov algebra Noncommutative geometry (à la Connes), Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Noncommutative algebraic geometry, Operations and obstructions in algebraic topology Structures of Gerstenhaber-Voronov algebra on non-commutuative differential forms | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 surface; \(\mathbb{C}^\ast\)-fibration; log minimal model program; knot surgery; Kirby diagram Classification of affine varieties, Rational and ruled surfaces, General low-dimensional topology, Surgery and handlebodies Classification of smooth factorial affine surfaces of Kodaira dimension zero with trivial units | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces real algebraic geometry; nullstellensatz; polynomials over division algebras; matrix rings; quaternions Projective and free modules and ideals in commutative rings, Ideals in associative algebras, Noncommutative algebraic geometry, Real algebraic and real-analytic geometry Matrix versions of real and quaternionic nullstellensätze | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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; ruled surface; ample divisors; nef divisors García, Luis Fuentes, Seshadri constants on ruled surfaces: the rational and the elliptic cases, Manuscripta Math., 119, 4, 483-505, (2006) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces Seshadri constants on ruled surfaces: the rational and the elliptic cases | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 ruled surface; approximation of smooth morphisms; approximation by regular morphism F. Mangolte, Real algebraic morphisms on 2-dimensional conic bundles, Adv. Geom., to appear. Zbl1097.14045 MR2243296 Real algebraic sets, Topology of real algebraic varieties, Rational and ruled surfaces Real algebraic morphisms on 2-dimensional 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 free Lie algebra; algebraic geometry; bounded algebraic set; coordinate algebra Daniyarova, È. Yu.; Remeslennikov, V. N., Bounded algebraic geometry over a free Lie algebra, Algebra Logika. Algebra Logic, 44 44, 3, 148-167, (2005) Identities, free Lie (super)algebras, Noncommutative algebraic geometry, Lie (super)algebras associated with other structures (associative, Jordan, etc.) Bounded algebraic geometry over a free Lie 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 \(*\)-algebra; Fejér-Riesz theorem; unilateral shift operator; noncommutative positivstellensatz; Toeplitz algebra Savchuk, Y.; Schmüdgen, K.: A noncommutative version of the Fejér-Riesz theorem, Proc. amer. Math. soc. 138, No. 4, 1243-1248 (2010) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, Noncommutative algebraic geometry, Trigonometric polynomials, inequalities, extremal problems, Linear operators in \({}^*\)-algebras, Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) A noncommutative version of the Fejér-Riesz theorem | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Weierstrass semigroup; double cover of a curve; rational ruled surface Plane curves of degree 4 Riemann surfaces; Weierstrass points; gap sequences, Coverings of curves, fundamental group, Rational and ruled surfaces On \(\gamma \)-hyperelliptic Weierstrass semigroups of genus \(6\gamma +1\) and \(6\gamma \) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 \(K\)-theory; Morita invariant; continous functors; localizing functors; localizing invariants; dg category; regularity; noncommutative motives; Nisnevich descent Tabuada, G.: \textit{E}\_{}\{\textit{n}\}-regularity implies \textit{E}\_{}\{\textit{n}\(-\)1\}-regularity. Documenta Math. 19, 121-139 (2014) Noncommutative algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry \(E_n\)-regularity implies \(E_{n-1}\)-regularity | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Cox ring; torus action Hausen, J.; Süß, H., The Cox ring of an algebraic variety with torus action, Adv. Math., 225, 977-1012, (2010) Divisors, linear systems, invertible sheaves, Toric varieties, Newton polyhedra, Okounkov bodies, Rational and ruled surfaces The Cox ring of an algebraic variety with torus action | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces minimal degree; del Pezzo varieties; projective equivalence W. Lee and E. Park, On non-normal del Pezzo varieties. J. Algebra 387 (2013), 11-28 Projective techniques in algebraic geometry, Varieties of low degree, Rational and ruled surfaces On non-normal del Pezzo varieties | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces birational endomorphisms; missing curves; concurrent lines; Eisenbud diagram; Neumann diagram; affine fibrations Pierrette Cassou-Noguès and Peter Russell, Birational morphisms \Bbb C²\to \Bbb C² and affine ruled surfaces, Affine algebraic geometry, Osaka Univ. Press, Osaka, 2007, pp. 57 -- 105. Birational automorphisms, Cremona group and generalizations, Rational and ruled surfaces, Affine fibrations Birational morphisms \(\mathbb C^2\to\mathbb C^2\) and affine 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 braid monodromy; fundamental groups; solvable group; Hirzebruch surface M Friedman, M Teicher, On the fundamental group related to the Hirzebruch surface \(F_1\) Coverings of curves, fundamental group, Embeddings in algebraic geometry, Homotopy theory and fundamental groups in algebraic geometry, Rational and ruled surfaces On fundamental groups related to the Hirzebruch surface \(F_{1}\) | 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 full exceptional set; category of coherent sheaves; del Pezzo surface; bounded derived category; log-terminal singularity; projective space Elagin [Elagin 07] A. D., Math. Notes 82 pp 33-- (2007) Rational and ruled surfaces Exceptional sets on del Pezzo surfaces with one log-terminal singularity | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces generic division algebra; generic n\(\times n\) matrices; stable rationality; centre; moduli spaces; cellular decomposition conjecture; finite-dimensional hereditary algebras; zeta-functions; tori-invariants Division rings and semisimple Artin rings, Vector and tensor algebra, theory of invariants, Rings with polynomial identity, Endomorphism rings; matrix rings, Arithmetic theory of algebraic function fields, Families, moduli of curves (algebraic) Centers of generic division 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 surfaces; bounded negativity; multiplier ideal; fat points; symbolic powers Brian Harbourne, ``Global aspects of the geometry of surfaces'', Ann. Univ. Paedagog. Crac. Stud. Math.9 (2010), p. 5-41 Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Structure, classification theorems for modules and ideals in commutative rings Global aspects of the geometry 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 projective rational surface; NEF Rational and ruled surfaces, Divisors, linear systems, invertible sheaves Optimal bound for the number of \((-1)\)-curves on extremal 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 Determinant; close plane curve; higher order; volume; tetraeder; ellipsoid; discussion; polar equation; proof; enclosed area; value Determinants, permanents, traces, other special matrix functions, Length, area and volume in real or complex geometry, Integration of real functions of several variables: length, area, volume, Three-dimensional polytopes, Euclidean analytic geometry, Rational and ruled surfaces, Plane and space curves Contributions to the theory of determinants and on a closed plane curve of higher order. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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; ample divisor; generation of Picard group Yoshioka, Kōta, The Picard group of the moduli space of stable sheaves on a ruled surface, J. Math. Kyoto Univ., 36, 2, 279-309, (1996) Picard groups, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces The Picard group of the moduli space of stable sheaves on a ruled surface | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Hirzebruch surface; ruled rational surface; morphism; gonality G. MARTENS, The gonality of curves on a Hirzebruch surface, Arch. Math., 67 (1996), pp. 349-352. Zbl0872.14022 MR1407339 Special algebraic curves and curves of low genus, Rational and ruled surfaces The gonality of curves on a Hirzebruch 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 virtual Mordell-Weil rank; rationality of a curve; minimal bundle of non-hyperelliptic curves M.-H. SAITO - V. NGUYEN KHAC, On Mordell-Weil lattices for nonhyperelliptic fibrations of surfaces with zero geometric genus and irregularity, Izv. Ross. Akad. Nauk Ser. Mat., 66 (2002), pp. 137-154. Zbl1053.14043 MR1942097 Rational and ruled surfaces, Families, moduli of curves (algebraic), Rational and unirational varieties On Mordell-Weil lattices for non-hyperelliptic fibrations on surfaces with zero geometric genus and irregularity | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces quantum deformations; conformal quantum field theories; theta functions; non-commutative analogue of abelian varieties; quantization; quantum tori; quantized theta functions Manin, Y. I., Quantized theta-functions, \textit{Progress of theoretical physics. Supplement}, 102, 219-228, (1991) Noncommutative algebraic geometry, Theta functions and abelian varieties, Quantum groups (quantized enveloping algebras) and related deformations, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras Quantized theta-functions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces equations over semigroups; completely simple semigroups; equational domains; algebraic sets Free semigroups, generators and relations, word problems, Noncommutative algebraic geometry, Algebraic geometry over groups; equations over groups Equations over completely simple semigroups. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 Klingenberg plane; local ring; geometric addition; geometric multiplication Ring geometry (Hjelmslev, Barbilian, etc.), Questions of classical algebraic geometry, Noncommutative algebraic geometry, Noncommutative local and semilocal rings, perfect rings On addition and multiplication of points in a certain class of projective Klingenberg 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 skew Calabi-Yau property; Nakayama automorphisms Noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Graded rings and modules (associative rings and algebras), Centralizing and normalizing extensions Skew Calabi-Yau property of normal extensions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 derivations; double Schouten bracket; double Poisson bracket; quivers; double Poisson algebras G. Van de Weyer, Double Poisson structures on finite dimensional semi-simple algebras, math.AG/0603533. Noncommutative algebraic geometry Double Poisson structures on finite dimensional semi-simple 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 quantum group; quantum matrix space; quadratic Hopf algebra; compact matrix pseudogroup; Yang-Baxter equation; tensor category Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras, Research exposition (monographs, survey articles) pertaining to group theory, Noncommutative algebraic geometry, Hopf algebras and their applications, Bialgebras, Ring-theoretic aspects of quantum groups, Yang-Baxter equations, Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups and related algebraic methods applied to problems in quantum theory, Noncommutative geometry in quantum theory Quantum groups and noncommutative geometry. With a contribution by Theo Raedschelders and Michel Van den Bergh | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Miranda, R, Bi-elliptic surface as coverings of rational surfaces, Advances in Math., 198, 439-447, (2005) Special surfaces, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations Bielliptic surfaces as covers of 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 finite differential calculi; noncommutative differential geometry; derivations; Dirac operator; ordinary differential calculus of spacetime Noncommutative topology, Noncommutative differential geometry, Noncommutative algebraic geometry, Special relativity On finite differential calculi | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces noncommutative Crepant resolutions; Auslander Reiten theory; Auslander Reiten duality; Auslander Reiten algebra; cluster tilting; mutations; right mutation; left mutation; exchange seqences O. Iyama and M. Wemyss, Maximal modifications and Auslander-Reiten duality for non-isolated singularities, Invent. Math. 197 (2014), no. 3, 521-586. Noncommutative algebraic geometry, Representations of quivers and partially ordered sets, Local theory in algebraic geometry Maximal modifications and Auslander-Reiten duality for non-isolated singularities | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces topological \(K\)-theory; algebraic \(K\)-theory; cyclic homology; noncommutative Hodge structure Blanc, A., \textit{topological K-theory of complex noncommutative spaces}, Compos. Math., 152, 489-555, (2016) Noncommutative algebraic geometry, \(K\)-theory and homology; cyclic homology and cohomology Topological \(K\)-theory of complex noncommutative spaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rational singularity; elliptic singularity; normal projective degeneration; non-rational ruled surfaces; plurigenera; Gorenstein Structure of families (Picard-Lefschetz, monodromy, etc.), Rational and unirational varieties, Families, moduli, classification: algebraic theory, Rational and ruled surfaces, Rational and birational maps, Singularities of surfaces or higher-dimensional varieties, Normal analytic spaces Normal projective degenerations of rational and 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 K-stability; cscK metric; del Pezzo surface; slope stability; flop Kähler-Einstein manifolds, Notions of stability for complex manifolds, Fano varieties, Rational and ruled surfaces, Kähler manifolds Unstable polarized 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 equationally Noetherian groups; free soluble groups; algebraic sets C. K. Gupta and N. S. Romanovskii, ''The property of being equationally Noetherian for some soluble groups,'' Algebra Logic, 46, No. 1, 28--36 (2007). Solvable groups, supersolvable groups, Extensions, wreath products, and other compositions of groups, Quasivarieties and varieties of groups, Noncommutative algebraic geometry The property of being equationally Noetherian for some soluble 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 stable rank-two vector bundles; ruled surfaces; moduli space Algebraic moduli problems, moduli of vector bundles, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces, Rationality questions in algebraic geometry Rank-two vector bundles on non-minimal ruled surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces stable vector bundles; rational ruled surface; ample divisor; moduli space; Donaldson polynomial; enumerative geometry Rational and ruled surfaces, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic moduli problems, moduli of vector bundles On Donaldson polynomials of 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 free groups; partially commutative groups; nilpotent groups; graphs; centraliser dimension Nilpotent groups, Free nonabelian groups, Quasivarieties and varieties of groups, Noncommutative algebraic geometry, Graphs and abstract algebra (groups, rings, fields, etc.), Generators, relations, and presentations of groups, Braid groups; Artin groups Centraliser dimension of free partially commutative nilpotent groups of class 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 Rapoport-Zink spaces; \(l\)-adic cohomology of the Rapoport-Zink tower; representations of \(p\)-adic Lie groups Modular and Shimura varieties, Representations of Lie and linear algebraic groups over local fields, Rigid analytic geometry, Local ground fields in algebraic geometry, Endomorphism rings; matrix rings On irreducible components of Rapoport-Zink spaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces derived category; noncommutative algebraic geometry; AS-regular algebra; Fano-algebra; preprojective algebra; Veroneze algebra; McKay correspondence; noncommutative resolution Noncommutative algebraic geometry Some derived equivalences between noncommutative schemes and 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 quantum algebra at roots of unity; non-commutative geometry; Zariski geometry Zilber, A class of quantum zariski geometries, in: Model theory with applications to algebra and analysis I (2008) Models of other mathematical theories, Model-theoretic algebra, Noncommutative algebraic geometry, Quantum groups and related algebraic methods applied to problems in quantum theory A class of quantum Zariski geometries | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces intermediate Jacobians; polarizations; noncommutative motives; semi-orthogonal decompositions; Torelli theorem; Fano threefolds; quadric fibrations; blow-ups Noncommutative algebraic geometry, Torelli problem, Rationality questions in algebraic geometry, \(3\)-folds, Fano varieties, Picard schemes, higher Jacobians From semi-orthogonal decompositions to polarized intermediate Jacobians via Jacobians of noncommutative motives | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Ulrich bundles; rational normal scroll; Beilinson spectral theorem Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Cohen-Macaulay modules, Rational and ruled surfaces Ulrich bundles on smooth projective varieties 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 del Pezzo surfaces; moduli spaces; root systems Colombo, E.; van Geemen, B.; Looienga, E., Del Pezzo moduli via root systems, (Algebra, arithmetic, and geometry: in honor of yu.I. Manin. vol. I, Progr. math., vol. 269, (2009), Birkhäuser Boston, Inc. Boston, MA), 291-337 Families, moduli, classification: algebraic theory, Rational and ruled surfaces, Simple, semisimple, reductive (super)algebras, Classical problems, Schubert calculus Del Pezzo moduli via root systems | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Gizatullin-Danilov surface; Hirzebruch surface Flenner H., Kaliman S., Zaidenberg M.: On the Danilov-Gizatullin isomorphism theorem. Enseignement Mathématiques 55(2), 1--9 (2009) Rational and ruled surfaces, Classification of affine varieties, Affine fibrations On the Danilov-Gizatullin isomorphism theorem | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Singh, B; Shukla, G; Kundu, D, Spatio-temporal models in small area estimation, Surv Methodol, 31, 183-195, (2005) Rational and ruled surfaces, (Equivariant) Chow groups and rings; motives, Arithmetic ground fields for surfaces or higher-dimensional varieties, Varieties over finite and local fields The Chow group of a del Pezzo surface over a local 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 implicitization; \(\mu \)-basis; ruled surface; reparametrization Dohm, M, Implicitization of rational ruled surfaces with \(\mu\)-bases, Journal of Symbolic Computation, 44, 479-489, (2009) Computational aspects of algebraic surfaces, Rational and ruled surfaces Implicitization of rational ruled surfaces with \(\mu \)-bases | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Maurer-Cartan equation; formal deformation; Hochschild cohomology; dg-algebras; dg-categories; differential graded Lie algebra; $\infty$-operad; augmented $\mathbb E_n$-algebras; formal moduli of a category; curved deformations; Maurer-Cartan solutions; compactly generated $k$-linear $\infty$-category; $\mathcal{C}\text{atDef}_{\mathcal C}$; homotopy equivalence Noncommutative algebraic geometry, Categories in geometry and topology Generators in formal deformations of 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 deformation theory; Hochschild cohomology; Massey products; noncommutative algebraic geometry Noncommutative algebraic geometry, Local deformation theory, Artin approximation, etc., Deformations of singularities, Algebraic moduli problems, moduli of vector bundles Noncommutative deformation theory | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces del Pezzo surface; Hasse principle; Brauer-Manin obstruction Geometric class field theory, Varieties over global fields, Global ground fields in algebraic geometry, Rational points, Rational and ruled surfaces On the number of certain del Pezzo surfaces of degree four violating the Hasse principle | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Broustet, A.: Constantes de Seshadri du diviseur anticanonique des surfaces de del Pezzo, L'enseignement math. 52, 231-238 (2006) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces Seshadri constants of an anticanonical divisor 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 \(\mathbb Q\)-Fano varieties Reid M., Suzuki K. (2003) Cascades of projections from log del Pezzo surfaces, in Number theory and algebraic geometry--to Peter Swinnerton--Dyer on his 75th birthday, pp. 227--249. Cambridge University Press, Cambridge Rational and ruled surfaces Cascades of projections from log del Pezzo surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Homological Mirror Symmetry; Weighted Projective Planes; Noncommutative deformations; Lagrangian Vanishing Cycles; Fano Manifolds; Hirzebruch Surfaces; Derived Categories Auroux D, Katzarkov L, Orlov D. Mirror symmetry for weighted projective planes and their noncommutative deformations. Ann of Math (2), 2008, 167: 867--943 Mirror symmetry (algebro-geometric aspects), Noncommutative algebraic geometry, Symplectic aspects of Floer homology and cohomology Mirror symmetry for weighted projective planes and their noncommutative deformations | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces \(K\)-theory; Hochschild homology; Hodge structures; non-commutative geometry; equivariant Hodge theory; equivariant topological \(K\)-theory; Hodge-de Rham spectral sequence Noncommutative algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), \(K\)-theory and homology; cyclic homology and cohomology, Equivariant \(K\)-theory Equivariant Hodge theory and noncommutative geometry | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Pridham, J. P.: Derived deformations of schemes, (2009) Formal methods and deformations in algebraic geometry, Noncommutative algebraic geometry, Deformations and infinitesimal methods in commutative ring theory, Groupoids, semigroupoids, semigroups, groups (viewed as categories) Derived deformations of 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 quadratic surfaces Rational and ruled surfaces, Hypersurfaces and algebraic geometry On surfaces of degree two. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rational surface; fibration; Mordell-Weil lattice K. V. Nguyen, On certain Mordell-Weil lattices of hyperelliptic type on rational surfaces, J. Math. Sci. (New York) 102 (2000), no. 2, 3938--3977. Jacobians, Prym varieties, Rational and ruled surfaces, Arithmetic varieties and schemes; Arakelov theory; heights, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and unirational varieties On certain Mordell-Weil lattices of hyperelliptic type 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 Brauer groups; smooth proper surface; Galois cohomology Bright M., Swinnerton-Dyer P., Computing the Brauer-Manin obstructions, Math. Proc. Cambridge Philos. Soc., 2004, 137(1), 1--16 Varieties over global fields, Brauer groups of schemes, Rational and ruled surfaces Computing the Brauer-Manin obstructions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Special surfaces, Rational and ruled surfaces, Projective techniques in algebraic geometry On the projective genus 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 Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, \(K3\) surfaces and Enriques surfaces Zariski chamers and stable base loci | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces characteristics; conics; quadratic surfaces Rational and ruled surfaces, Hypersurfaces and algebraic geometry On the characteristics of systems of conics and of surfaces of second order. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces fans; real spectra of noncommutative rings; real places; orderings; order compatible real places; integral domains; Bröcker's trivialization theorem; quantum planes Marshall, M., Zhang, Y.: Orderings, real places and valuations on noncommutative integral domains. J. Algebra 212, 190--207 (1999) Valuations, completions, formal power series and related constructions (associative rings and algebras), Integral domains (associative rings and algebras), Topological and ordered rings and modules, Rings arising from noncommutative algebraic geometry, Semialgebraic sets and related spaces Orderings, real places, and valuations on noncommutative integral domains | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces rank 2 vector bundle; coarse moduli space; rational ruled surface Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces, Fine and coarse moduli spaces, Formal methods and deformations in algebraic geometry Vector bundles of rank 2 on rational ruled surfaces and on \(\mathbb{P}_k^n\times\mathbb{P}_k^m\) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces log del Pezzo surface; Picard number G. N. Belousov, The maximal number of singular points on log del Pezzo surfaces , J. Math. Sci. Univ. Tokyo 16 (2009), 231-238. Rational and ruled surfaces, Fano varieties, Automorphisms of surfaces and higher-dimensional varieties The maximal number of singular points on log del Pezzo surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Chern class; moduli spaces; ruled surface; stable bundles M. Aprodu, V. Brínzănescu, Moduli spaces of vector bundles over ruled surfaces. \textit{Nagoya Math.J}. 154 (1999), 111-122. MR1689175 Zbl 0938.14024 Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Families, moduli, classification: algebraic theory, Algebraic moduli problems, moduli of vector bundles Moduli spaces of vector bundles over 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 number of points of intersection; space curves; ruled surface Plane and space curves, Projective techniques in algebraic geometry, Rational and ruled surfaces, Complete intersections Intersection de deux courbes de l'espace projectif. (Intersection of two curves in projective space) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Del Pezzo surface; log-terminal singularity V.A. Alekseev and V.V. Nikulin: Classification of del Pezzo surfaces with log-terminal singularities of index \(\leq 2\), and involutions on \(K3\) surfaces , Soviet. Math. Dokl. 39 (1989), 507-511. Rational and ruled surfaces, Singularities of surfaces or higher-dimensional varieties, Families, moduli, classification: algebraic theory, Singularities in algebraic geometry Classification of del Pezzo surfaces with log-terminal singularities of index \(\leq 2\), and involutions on 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 implicitization of rational parametric surfaces; implicitization of rational parametric curves; complexity; Gröbner basis Fix, G.; Hsu, C.; Luo, T.: Implicitization of rational parametric surfaces. J. symb. Comput. 21, 329-336 (1996) Computational aspects of algebraic surfaces, Rational and ruled surfaces Implicitization of rational parametric 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 down-up algebras; hyperbolic rings; centers; Clifford algebras Kulkarni, R. S., Down-up algebras and their representations, J. Algebra, 245, 431-462, (2001) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting), Noncommutative algebraic geometry, Simple and semisimple modules, primitive rings and ideals in associative algebras, Ordinary and skew polynomial rings and semigroup rings, Center, normalizer (invariant elements) (associative rings and algebras), Clifford algebras, spinors Down-up algebras and their representations. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Mordell-Weil lattices; elliptic surfaces; height pairing; minimal height of a non-torsion point T. SHIODA, Existence of a rational elliptic surface with a given Mordell-Weil lattice, Proc. Japan Acad Ser. A, Math. Sci. 68 (1992), 251-255. Rational points, Elliptic curves, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces, Arithmetic varieties and schemes; Arakelov theory; heights, Other nonalgebraically closed ground fields in algebraic geometry Existence of a rational elliptic surface with a given Mordell-Weil lattice | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces ruled surface; adjunction process; very ample line bundle; Kodaira dimension; sectional genus; minimal model Biancofiore, A., Livorni, E.: On the Iteration of the Adjunction Process for Surfaces of Negative Kodaira Dimension. Manuser. Math.64, 35--44 (1989) Rational and ruled surfaces, Special surfaces, Minimal model program (Mori theory, extremal rays), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Families, moduli, classification: algebraic theory On the iteration of the adjunction process for surfaces of negative Kodaira 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 spontaneous super symmetry breaking; vacuum state; mass spectrum Supervarieties, Supersymmetric field theories in quantum mechanics, Symmetry breaking in quantum theory, Noncommutative algebraic geometry Algebraic geometry and spontaneous [super]symmetry breaking | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 degenerations of minimal ruled surfaces Rational and ruled surfaces, Formal methods and deformations in algebraic geometry, Families, moduli, classification: algebraic theory Correction to ``Degenerations of minimal ruled surfaces'' | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Paraboloids Rational and ruled surfaces Solution of problem 205. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Witt ring; real-closed field; total signature map; unramified cohomology Monnier, J. P.: Unramified cohomology and quadratic forms. Math. Z. 235, 455-478 (2000) Algebraic theory of quadratic forms; Witt groups and rings, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Rational and ruled surfaces, \(4\)-folds, Witt groups of rings, \(K3\) surfaces and Enriques surfaces, Real algebraic sets Unramified cohomology and quadratic forms | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces non-commutative crepant resolution; dimer model; quiver with potential; Gorenstein toric singularity; mutations of dimer models Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies Mutations of splitting maximal modifying modules: the case of reflexive polygons | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), 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 set; universal algebraic geometry; disjunctive equation; equational domain; equational codomain; discriminating algebra; codiscriminating algebra E. Y. Daniyarova, A. G. Myasnikov and V. N. Remeslennikov, Algebraic geometry over algebraic systems. II. Foundations, Fundam. Prikl. Mat. 17 (2011/12), no. 1, 65-106. Algebraic structures, Equational classes, universal algebra in model theory, Noncommutative algebraic geometry Algebraic geometry over algebraic structures. IV: Equational domains and codomains | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces cylinder; del Pezzo fibration Affine fibrations, Rational and ruled surfaces, Minimal model program (Mori theory, extremal rays), Fano varieties, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Cylinders in del Pezzo fibrations | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces fake projective planes; ball quotients; \(\mathbb{Q}\)-homology projective planes; singular 4-manifolds; Montgomery-Yang problem Surfaces of general type, Sheaves in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Rational and ruled surfaces, Embedding theorems for complex manifolds, Automorphic functions in symmetric domains Algebraic surfaces with minimal Betti numbers | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Antonio Laface and Damiano Testa, Nef and semiample divisors on rational surfaces, Torsors, étale homotopy and applications to rational points, London Math. Soc. Lecture Note Ser., vol. 405, Cambridge Univ. Press, Cambridge, 2013, pp. 429 -- 446. Rational and ruled surfaces, Divisors, linear systems, invertible sheaves Nef and semiample divisors 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 quotient singularity; fundamental group Zhang D.-Q.: Automorphisms of finite order on rational surfaces with an appendix by I. Dolgachev. J. Algebra 238(2), 560--589 (2001) Automorphisms of surfaces and higher-dimensional varieties, Birational automorphisms, Cremona group and generalizations, Rational and ruled surfaces Automorphisms of finite order on rational surfaces. With an appendix by I. Dolgachev | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces vector bundles; Brill-Noether theory; ruled surfaces Castorena, A; Reyes-Ahumada, G, Remarks on rank two bundles with canonical determinant and 4 sections, Rend. Circ. Mat. Palermo, 64, 261-272, (2015) Divisors, linear systems, invertible sheaves, Vector bundles on curves and their moduli, Rational and ruled surfaces Rank two bundles with canonical determinant and four sections | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces redundant blow-up; rational surface; Cox ring; Mori dream surfaces; Zariski decomposition Hwang, D., Park, J.: Cox rings of rational surfaces and redundant blow-ups. Trans. Am. Math. Soc. (2015, to appear) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces Cox rings of rational surfaces and redundant blow-ups | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces polynomial mappings; blue indeterminates; white indeterminates; signal R. Peretz, Constructing Polynomial Mappings Using Non-commutative Algebras. In Aff. Algebr. Geometry. Contemporary Mathematics, vol. 369 (American Mathematical Society, Providence, 2005), pp. 197-232 Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Noncommutative algebraic geometry Constructing polynomial mappings using non-commutative 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 Interpolation; Nagata; Linear systems; Plane curves Ciro Ciliberto and Rick Miranda, Nagata's conjecture for a square or nearly-square number of points, Ric. Mat. 55 (2006), no. 1, 71 -- 78. Rational and ruled surfaces, Projective techniques in algebraic geometry Nagata's conjecture for a square or nearly-square number of points | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces nonassociative algebra; torsion algebra; formal manifold; formal connection. de Rham theory in global analysis, Composition algebras, Noncommutative algebraic geometry Nonassociative algebras: a framework for differential geometry | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Divisors, linear systems, invertible sheaves, Rational and ruled surfaces Seshadri constants of unisecant line bundles on ruled surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces inverse system; apolarity Schenk H.K.: Linear systems on a special rational surface. Math. Res. Lett. 11(5--6), 697--713 (2004) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series Linear systems on a special 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 Cremona group; noncommutative algebras; deformation quantization of rational surfaces Usnich, Alexandr. \(Action of the Cremona group on a noncommutative ring\). Adv. Math. 228 (2011), no. 4, 1863-1893. Birational automorphisms, Cremona group and generalizations, Noncommutative algebraic geometry Action of the Cremona group on a noncommutative 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 log del Pezzo pair; big anticanonical surface; anticanonical model; globally F-regular variety HwPa D.~Hwang and J.~Park, Characterization of log del Pezzo pairs via anticanonical models, Math. Z. \textbf 280 (2015), no. 1-2, 211--229. Fano varieties, Rational and ruled surfaces, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Singularities of surfaces or higher-dimensional varieties Characterization of log del Pezzo pairs via anticanonical models | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Del Pezzo surface; highest weight vector; orbit; universal torsor; simple Lie group Rational and ruled surfaces, Homogeneous spaces and generalizations, Semisimple Lie groups and their representations Adjoint representation of \(E_{8}\) and del Pezzo surfaces 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 Azumaya algebras; Brauer group; class group; non rational singularity; rational surface Brauer groups of schemes, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Singularities of surfaces or higher-dimensional varieties, Rational and ruled surfaces Generically trivial Azumaya algebras on a rational surface with a non rational singularity | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces Finite ground fields in algebraic geometry, Inverse Galois theory, Rational and ruled surfaces, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Varieties over finite and local fields, Arithmetic ground fields for surfaces or higher-dimensional varieties Inverse Galois problem for del Pezzo surfaces over finite 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 vector bundles on curves; Brill-Noether theory; ruled surfaces Calabri A., Ciliberto C., Flamini F., Miranda R.: Brill--Noether theory and non-special scrolls with general moduli. Geom. Dedicata 139, 121--138 (2009) Special divisors on curves (gonality, Brill-Noether theory), Vector bundles on curves and their moduli, Fibrations, degenerations in algebraic geometry, Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Enumerative problems (combinatorial problems) in algebraic geometry Brill-Noether theory and non-special scrolls | 0 |
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