text
stringlengths 68
2.01k
| label
int64 0
1
|
|---|---|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Berest, Yu.; Wilson, G.: Differential operators on an affine curve: ideal classes and Picard groups, Quart. J. Math. Oxford 62, No. 1, 7-19 (2011) Relationships between algebraic curves and integrable systems, Rings of differential operators (associative algebraic aspects), Rings arising from noncommutative algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Picard groups, Vector bundles on curves and their moduli
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Derenthal, U.; Elsenhans, A.; Jahnel, J., On the factor alpha in Peyre's constant, Math. Comput., 83, 965-977, (2014) Rational points, Counting solutions of Diophantine equations, Rational and ruled surfaces, Polyhedra and polytopes; regular figures, division of spaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Ye, Q. On Gorenstein log del Pezzo surfaces,Japan. J. Math. (N.S.) 28(1), 87--136, (2002). Rational and ruled surfaces, Complex surface and hypersurface singularities, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Singularities of surfaces or higher-dimensional varieties
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Daigle, D.; Russell, P.: On weighted projective planes and their affine rulings. Osaka J. Math 38, 101-150 (2001) Affine fibrations, Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces S. Fomin and A. Zelevinsky, \textit{Cluster algebras I: Foundations}, \textit{J. Am. Math. Soc.}\textbf{15} (2002) 497 [math/0104151]. Group rings, Cluster algebras, Endomorphism rings; matrix rings, Simple, semisimple, reductive (super)algebras, Representation theory for linear algebraic groups, Grassmannians, Schubert varieties, flag manifolds
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Supervarieties, Supermanifolds and graded manifolds, Noncommutative algebraic geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Masuda, K.; Miyanishi, M., The additive group actions on \(\mathbb{Q}\)-homology planes, Ann. Inst. Fourier (Grenoble), 53, 2, 429-464, (2003) Group actions on affine varieties, Group actions on varieties or schemes (quotients), Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Lenagan, T. H.; Rigal, L., Quantum graded algebras with a straightening law and the \textit{AS}-Cohen-Macaulay property for quantum determinantal rings and quantum Grassmannians, J. Algebra, 301, 2, 670-702, (2006) Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Quadratic and Koszul algebras, Grassmannians, Schubert varieties, flag manifolds
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces General theory of nonassociative rings and algebras, Identities, free Lie (super)algebras, Leibniz algebras, Free algebras, Noncommutative algebraic geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Surfaces of general type, Rational and ruled surfaces, Classification of affine varieties
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Fine and coarse moduli spaces, Stacks and moduli problems, Noncommutative local and semilocal rings, perfect rings
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Alzati, A.; Bertolini, M.; Besana, G. M.: Two dimensional scrolls contained in quadric cones in P5, Abh. math. Sem. univ. Hamburg 74, 57-75 (2004) Rational and ruled surfaces, Low codimension problems in algebraic geometry, Projective techniques in algebraic geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Ciliberto, C.; Pedrini, C.: Annibale Comessatti and real algebraic geometry. Rend. del circ. Mat. di Palermo, No. Suppl. 36, 71-102 (1994) History of algebraic geometry, History of mathematics in the 20th century, Topology of real algebraic varieties, Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Trepalin, A., Quotients of conic bundles, Transform. Groups, 21, 1, 275-295, (2016) Rational and ruled surfaces, Automorphisms of surfaces and higher-dimensional varieties
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Marcolli, M.: Noncommutative Cosmology. World Scientific (2018) Research exposition (monographs, survey articles) pertaining to quantum theory, Relativistic cosmology, Renormalization group methods applied to problems in quantum field theory, Methods of noncommutative geometry in general relativity, Noncommutative geometry (à la Connes), Noncommutative geometry in quantum theory, Physics, Noncommutative algebraic geometry, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations, Conformal densities and Hausdorff dimension for holomorphic dynamical systems, Quantization of the gravitational field, Applications of statistics to physics
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Divisors, linear systems, invertible sheaves, Rational and birational maps, Elliptic curves, Rational and ruled surfaces, Subvarieties of abelian varieties
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Yakimov, M., Spectra and catenarity of multiparameter quantum Schubert cells, \textit{Glasgow Math. J.}, 55A, 169-194, (2013) Ring-theoretic aspects of quantum groups, Quantum groups (quantized enveloping algebras) and related deformations, Grassmannians, Schubert varieties, flag manifolds, Rings arising from noncommutative algebraic geometry, Ideals in associative algebras
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces D.-M. Lu, J. H. Palmieri, Q.-S. Wu, and J. J. Zhang, ''Regular algebras of dimension 4 and their A -Extalgebras,'' Duke Math. J. 137(3), 537--584 (2007). Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Graded rings and modules (associative rings and algebras), Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting), Ring-theoretic aspects of quantum groups, Noncommutative algebraic geometry, Homological dimension in associative algebras
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Serganova V., Skorobogatov A.: Del Pezzo surfaces and representation theory. Algebra Number Theory 1, 393--419 (2007) Rational and ruled surfaces, Exceptional (super)algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Z. Sela, Diophantine geometry over groups. VI. The elementary theory of a free group, Geom. Funct. Anal. 16 (2006), no. 3, 707-730. Word problems, other decision problems, connections with logic and automata (group-theoretic aspects), Free nonabelian groups, Quasivarieties and varieties of groups, Applications of logic to group theory, Diophantine equations in many variables, Noncommutative algebraic geometry, Decidability of theories and sets of sentences, Basic properties of first-order languages and structures, Model-theoretic algebra, Hyperbolic groups and nonpositively curved groups
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Toric varieties, Newton polyhedra, Okounkov bodies, Rational and ruled surfaces, Computational aspects of algebraic surfaces, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Polishchuk, A.; Tu, J., DG-resolutions of NC-smooth thickenings and NC-Fourier-Mukai transforms, Math. Ann., 360, 79-156, (2014) Noncommutative algebraic geometry, de Rham cohomology and algebraic geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Dumnicki, M.; Szemberg, T.; Tutaj-Gasińska, H., Symbolic powers of planar point configurations, J. Pure Appl. Algebra, 217, 1026-1036, (2013) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Configurations and arrangements of linear subspaces, Ideals and multiplicative ideal theory in commutative rings
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Minimal model program (Mori theory, extremal rays), Positive characteristic ground fields in algebraic geometry, Singularities of curves, local rings, Singularities of surfaces or higher-dimensional varieties, Rational and ruled surfaces, \(3\)-folds, Fano varieties
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Arithmetic varieties and schemes; Arakelov theory; heights, Noncommutative algebraic geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Local ground fields in algebraic geometry, Finite ground fields in algebraic geometry, Rational and ruled surfaces, Algebraic number theory: local fields
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Berest, Yu.; Ramadoss, A.; Tang, X., The Picard group of a noncommutative algebraic torus, J. noncommut. geom., 7, 2, 335-356, (2013), arXiv:10103779 [math.QA] Rings of differential operators (associative algebraic aspects), Picard groups, Rings arising from noncommutative algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Vector bundles on curves and their moduli, Deformations of associative rings
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Z. Jelonek, ''The set of points at which a polynomial map is not proper,'' Ann. Polon. Math., 58, 259--266 (1993). Rational and birational maps, Proper holomorphic mappings, finiteness theorems, Polynomial rings and ideals; rings of integer-valued polynomials, Rational and ruled surfaces, Hypersurfaces and algebraic geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Grinenko M.\ M., Fibrations into del Pezzo surfaces, Uspekhi Mat. Nauk 61 (2006), no. 2(368), 67-112. Rationality questions in algebraic geometry, Birational automorphisms, Cremona group and generalizations, Minimal model program (Mori theory, extremal rays), Rational and ruled surfaces, Fano varieties, \(3\)-folds
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces D. Ben-Zvi, T. Nevins, Perverse bundles and Calogero--Moser spaces, Compositio Math. 144 (2008), no. 6, 1403--1428. Noncommutative algebraic geometry, Rings of differential operators (associative algebraic aspects), Homological methods in associative algebras
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces G. Tabuada and M. Van den Bergh, Noncommutative motives of Azumaya algebras, J. Inst. Math. Jussieu 14 (2015), no. 2, 379-403. Noncommutative algebraic geometry, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Enriched categories (over closed or monoidal categories), \(K\)-theory and homology; cyclic homology and cohomology, \(K\)-theory of schemes
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces D.-Q. Zhang, Quotients of \?3 surfaces modulo involutions, Japan. J. Math. (N.S.) 24 (1998), no. 2, 335 -- 366. \(K3\) surfaces and Enriques surfaces, Group actions on varieties or schemes (quotients), Families, moduli, classification: algebraic theory, Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.), Noncommutative algebraic geometry, Differential graded algebras and applications (associative algebraic aspects), Derived categories, triangulated categories, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Chain complexes (category-theoretic aspects), dg categories
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Belousov, G, Log del Pezzo surfaces with simple automorphism groups, Proc. Edinb. Math. Soc., 58, 33-52, (2015) Automorphisms of surfaces and higher-dimensional varieties, Rational and ruled surfaces, Fano varieties
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Klep, I.; Vinnikov, V.; Volčič, J., Null- and positivstellensätze for rationally resolvable ideals Noncommutative algebraic geometry, Real algebra, Other kinds of identities (generalized polynomial, rational, involution), Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Real algebraic sets
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rational and ruled surfaces, Arithmetic ground fields for curves, Plane and space curves
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Lawson Jr. H.B., Michelsohn, M.-L.: Spin geometry. de Princeton Mathematical Series, vol. 38. Princeton University Press, Princeton (1989) Topology of real algebraic varieties, Rational and ruled surfaces, Real-analytic manifolds, real-analytic spaces, Deformations of special (e.g., CR) structures
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Heights, Arithmetic varieties and schemes; Arakelov theory; heights
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces McKay correspondence, Cohen-Macaulay modules, Global theory and resolution of singularities (algebro-geometric aspects), Noncommutative algebraic geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Rational and ruled surfaces, Topology of real algebraic varieties, Twistor theory, double fibrations (complex-analytic aspects), Twistor methods in differential geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Surfaces of general type, Fibrations, degenerations in algebraic geometry, Varieties and morphisms, Formal methods and deformations in algebraic geometry, Families, moduli, classification: algebraic theory, Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Toda, Y.; Uehara, H., \textit{tilting generators via ample line bundles}, Adv. Math., 223, 1-29, (2010) Noncommutative algebraic geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Embeddings in algebraic geometry, Divisors, linear systems, invertible sheaves, Plane and space curves, Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rational and ruled surfaces, Fano varieties, Special Riemannian manifolds (Einstein, Sasakian, etc.)
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rational and ruled surfaces, Fano varieties, Enumerative problems (combinatorial problems) in algebraic geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces M. Artin, J. Tate, M. Van den Bergh, Modules over regular algebras of dimension \(\(3\)\). Invent. Math. 106(2), 335-388 (1991) Noncommutative algebraic geometry, Other algebras and orders, and their zeta and \(L\)-functions, Graded rings and modules (associative rings and algebras), \(3\)-folds, Homological dimension in associative algebras
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces T. Szemberg; J. Szpond, On the containment problem, Rend. Circ. Mat. Palermo, \(###\). Ser, 66, 233-245, (2017) Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Configurations and arrangements of linear subspaces, Ideals and multiplicative ideal theory in commutative rings, Polynomial rings and ideals; rings of integer-valued polynomials
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rational and ruled surfaces, Projective techniques in algebraic geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Positive characteristic ground fields in algebraic geometry, Rational and birational maps, Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces --. --. --. --., Real rational surfaces are quasi-simple , J. Reine Angew. Math. 551 (2002), 87--99. Rational and ruled surfaces, Topology of real algebraic varieties, Families, moduli, classification: algebraic theory
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Kollár, J, Which are the simplest algebraic varieties?, Bull. AMS, 38, 409-433, (2001) Rational and ruled surfaces, Minimal model program (Mori theory, extremal rays)
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Mckinnon, D.; Roth, M.: Curves arising from endomorphism rings of Kronecker modules, Rocky mountain J. Math. 37, 879-891 (2007) Plane and space curves, Endomorphism rings; matrix rings
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Artamkin, IV, Stable bundles with \(c_1 =0\) on rational surfaces, Math. USSR-Izv., 36, 231-246, (1991) Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Representations of quivers and partially ordered sets
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces A. Hogadi and C. Xu, ''Degenerations of rationally connected varieties,'' Trans. Amer. Math. Soc., vol. 361, iss. 7, pp. 3931-3949, 2009. Fano varieties, Rational and ruled surfaces, Minimal model program (Mori theory, extremal rays), \(n\)-folds (\(n>4\))
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rational and ruled surfaces, Brauer groups of schemes
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Bastianelli, F., Irrationality issues for projective surfaces, Boll. unione mat. ital., (2017), in press Families, moduli, classification: algebraic theory, Special surfaces, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Surfaces of general type, Hypersurfaces and algebraic geometry, Rational and birational maps, Coverings in algebraic geometry, Rational and unirational varieties, Rationally connected varieties
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Pinus, A. G., On the universal algebras with identical derived objects (congruences, algebraic sets), Sib. Elektron. Mat. Izv., 11, 752-758, (2014) Structure theory of algebraic structures, Subalgebras, congruence relations, Noncommutative algebraic geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Special surfaces, Rational and ruled surfaces, Fano varieties
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces DOI: 10.1112/S002460930300225X Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Automorphisms and endomorphisms, Polynomials over commutative rings, Relevant commutative algebra
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Syzygies, resolutions, complexes in associative algebras, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Rings arising from noncommutative algebraic geometry, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Parametrization (Chow and Hilbert schemes), Grassmannians, Schubert varieties, flag manifolds, Holomorphic symplectic varieties, hyper-Kähler varieties
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces P. Jørgensen, Serre-Duality for \(\mathrm {Tails}(A)\), Proc. Amer. Math. Soc., this issue. Noncommutative algebraic geometry, Homological functors on modules (Tor, Ext, etc.) in associative algebras, Graded rings and modules (associative rings and algebras), Rings with polynomial identity
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Special algebraic curves and curves of low genus, Rational and ruled surfaces, Rational and unirational varieties
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Fibrations, degenerations in algebraic geometry, Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rational points, Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Berest, Yu.; Felder, G.; Ramadoss, A.: Derived representation schemes and noncommutative geometry Derived categories and associative algebras, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Noncommutative algebraic geometry, Nonabelian homological algebra (category-theoretic aspects), Symplectic structures of moduli spaces, Noncommutative geometry (à la Connes)
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Adam Nyman, Serre duality for non-commutative \Bbb P\textonesuperior -bundles, Trans. Amer. Math. Soc. 357 (2005), no. 4, 1349 -- 1416. Noncommutative algebraic geometry, Associative rings and algebras arising under various constructions, Nonabelian homological algebra (category-theoretic aspects), Resolutions; derived functors (category-theoretic aspects)
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Russo, F: The antibirational involutions of the plane and the classification of real del Pezzo surfaces. Algebraic geometry, pp. 289-312. de Gruyter, Berlin (2002) Rational and ruled surfaces, Real algebraic sets, Topology of real algebraic varieties
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Representations of quivers and partially ordered sets
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces T. De Fernex, Negative curves on very general blow-ups of \mathbb{P}^{2}, Projective varieties with unexpected properties, a volume in memory of Giuseppe Veronese, De Gruyter, Berlin (2005), 199-207. Divisors, linear systems, invertible sheaves, Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces J. W. Helton, I. Klep, and S. McCullough\textit{The matricial relaxation of a linear matrix inequality}, Math. Program., 138 (2013), pp. 401--445; preprint available from . Linear inequalities of matrices, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Noncommutative algebraic geometry, Semialgebraic sets and related spaces, Semidefinite programming, Sums of squares and representations by other particular quadratic forms, Real algebra
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces F.-S. Leung, Manin's conjecture on a nonsingular quartic del Pezzo surface , Acta Arith. 136 (2009), 177-199. Counting solutions of Diophantine equations, Rational points, Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces \(K\)-theory and homology; cyclic homology and cohomology, Noncommutative algebraic geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces T. Abe, Deformations of rank \(2\) quasi-bundles and some strange dualities for rational surfaces , Duke Math. J. 155 (2010), 577-620. Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Stacks and moduli problems, Infinitesimal methods in algebraic geometry, Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Bell, J., Launois, S., Nguyen, N.: Dimension and enumeration of primitive ideals in quantum algebras. J. Algebr. Comb. 29(3), 269--294 (2009) Ring-theoretic aspects of quantum groups, Ideals in associative algebras, Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations, Group actions on varieties or schemes (quotients)
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Singularities in algebraic geometry, McKay correspondence
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces \(K\)-theory of schemes, Noncommutative algebraic geometry, Algebraic cycles, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects)
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Finite-dimensional division rings, Forms over real fields, Quadratic forms over general fields, Skew fields, division rings, Algebraic functions and function fields in algebraic geometry, Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces M. McQuillan, An introduction to non-commutative Mori theory, In: European Congress of Mathematics, Vol. II (Barcelona, 2000), Progr. Math., 202, Birkhäuser, Basel, 2001, 47--53. Noncommutative algebraic geometry, Minimal model program (Mori theory, extremal rays), Families, moduli, classification: algebraic theory
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Nilov, F.; Skopenkov, M., A surface containing a line and a circle through each point is a quadric., Geom. Dedicata, 163, 301-310, (2013) Rational and ruled surfaces, Elementary problems in Euclidean geometries
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Rational and ruled surfaces, Fano varieties
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces G. N. Belousov, Del Pezzo surfaces with log terminal singularities, Mat. Zametki 83 (2008), no. 2, 170 -- 180 (Russian, with Russian summary); English transl., Math. Notes 83 (2008), no. 1-2, 152 -- 161. Rational and ruled surfaces, Fano varieties, Singularities of surfaces or higher-dimensional varieties
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces M. Wemyss, \textit{Lectures on noncommutative resolutions}, arXiv:1210.2564 [INSPIRE]. Noncommutative algebraic geometry, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Global theory and resolution of singularities (algebro-geometric aspects)
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Dais, D. I., Classification of toric log del Pezzo surfaces having Picard number 1 and index \(###\)3, Results Math., 54, 3-4, 219-252, (2009) Toric varieties, Newton polyhedra, Okounkov bodies, Rational and ruled surfaces, Computational aspects of algebraic surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Grassmannians, Schubert varieties, flag manifolds, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Twistor theory, double fibrations (complex-analytic aspects), Rational and ruled surfaces, Toric varieties, Newton polyhedra, Okounkov bodies, Canonical forms, reductions, classification, General geometric structures on manifolds (almost complex, almost product structures, etc.), Twistor methods in differential geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Divisors, linear systems, invertible sheaves, Rational and ruled surfaces, Fibrations, degenerations in algebraic geometry, Projective techniques in algebraic geometry, Questions of classical algebraic geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces A. G. Pinus, ''Algebras with identical algebraic sets,'' \textit{Algebra and Logic}, 54, No. 4, 316-322 (2015). Structure theory of algebraic structures, Subalgebras, congruence relations, Noncommutative algebraic geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces doi:10.1112/S0024611598000082 Special surfaces, Rational and ruled surfaces, Low codimension problems in algebraic geometry, \(K3\) surfaces and Enriques surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Brian Harbourne, Automorphisms of cuspidal \?3-like surfaces, Algebraic geometry: Sundance 1988, Contemp. Math., vol. 116, Amer. Math. Soc., Providence, RI, 1991, pp. 47 -- 60. Automorphisms of surfaces and higher-dimensional varieties, \(K3\) surfaces and Enriques surfaces, Minimal model program (Mori theory, extremal rays), Elliptic surfaces, elliptic or Calabi-Yau fibrations, Rational and ruled surfaces
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Johannes Huisman and Frédéric Mangolte, Automorphisms of real rational surfaces and weighted blow-up singularities, Manuscripta Math. 132 (2010), no. 1-2, 1 -- 17. Topology of real algebraic varieties, Rational and ruled surfaces, Birational automorphisms, Cremona group and generalizations
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Computational aspects of algebraic surfaces, Rational and ruled surfaces, Topology of real algebraic varieties
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative algebraic geometry, Plane and space curves, Simple and semisimple modules, primitive rings and ideals in associative algebras, Representations of orders, lattices, algebras over commutative rings, Parametrization (Chow and Hilbert schemes)
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Brambilla, M.C., Dumitrescu, O., Postinghel, E: On the effective cone of \({\mathbb{P}}^n\) with \(n+3\) points. Exp. Math. \textbf{25}(4), 452-465 (2016) Divisors, linear systems, invertible sheaves, Hypersurfaces and algebraic geometry, Rational and ruled surfaces, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Rational and ruled surfaces, Projective techniques in algebraic geometry
| 0
|
Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Brendan Hassett and Yuri Tschinkel, Universal torsors and Cox rings, Arithmetic of higher-dimensional algebraic varieties (Palo Alto, CA, 2002) Progr. Math., vol. 226, Birkhäuser Boston, Boston, MA, 2004, pp. 149 -- 173. Arithmetic ground fields for surfaces or higher-dimensional varieties, Rational and ruled surfaces, Toric varieties, Newton polyhedra, Okounkov bodies, Divisors, linear systems, invertible sheaves, Other nonalgebraically closed ground fields in algebraic geometry
| 0
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.