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semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) algebraic geometry; cone of curves; dimension; rational singularities | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) graded algebras; \(A_{\infty}\)-structure; Massey products; derived category; sheaves; Hochschild cohomology; algebraic curve; moduli of curves Fisette, R; Polishchuk, A, A\(_\infty \)-algebras associated with curves and rational functions on \({\fancyscript {M}}_{g, g}\). I, Compos. Math., 150, 621-667, (2014) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) twists of elliptic curves; cyclic coverings of the projective line; \(k\)-free integers assumed by a binary quadratic form; even rank; twists with large rank C. Stewart and J. Top: On ranks of twists of elliptic curves and power free values of binary forms. J. Amer. Math. Soc., 8, 947-974 (1995). JSTOR: | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) quadratic forms; algebraic groups; projective homogeneous varieties; orthogonal, symplectic, and unitary Grassmannians; Chow groups and motives; canonical dimension and incompressibility | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) reconstruction algebras; Cohen-Macaulay singularities; labelled Dynkin diagrams; endomorphism rings of Cohen-Macaulay modules; resolutions of singularities; moduli spaces of representations; tilting bundles; derived equivalences; global dimension Wemyss, M, Reconstruction algebras of type \(A\), Trans. Am. Math. Soc., 363, 3101-3132, (2011) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative algebraic geometry; graded rings; graded modules Bell, J., Rogalski, D., Sierra, S.: The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings. Israel J. Math. 180, 461--507 (2010) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) foliations with singularities on projective manifolds; holomorphic curves; complex manifold; meromorphic vector field; line bundle; dimension of the versal deformation spaces; rational vector fields | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) real function fields; real holomorphy ring; valuation rings; formally real residue field; regular projective model; rational point; real prime divisors; signatures of higher level; sums of n-th powers; Local-Global- Principle; weak isotropy; quadratic forms; Henselizations SCHÜLTING, H.W.: Prime divisors on real varieties and valuation theory. J. Alg.98, 499-514 (1986) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) projective geometry of elliptic curves; embedding via theta-functions; Heisenberg group; Horrocks-Mumford bundle; classification of normal bundles of elliptic space curves of degree 5 Hulek, K., Projective Geometry of Elliptic Curves, Astérisque, vol. 137, (1986), 143 pp | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) center; genetators; relations; Sklyanin algebra; presentation; sheaf of algebras; homogeneous coordinate ring; elliptic curve Smith, SP; Tate, J, The center of the 3-dimensional and 4-dimensional Sklyanin algebras, K-theory, 8, 19-63, (1994) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) cohomology theories of noncommutative operator algebras; Lie; algebra of infinite matrices of finite type; homological K-functor; \(C^*\)-algebras; Kasparov's KK-functor; cyclic homology; Gel'fand-Fuks cohomology theory of infinite-dimensional Lie; algebras; additive K-functor; derived functors; Chern characters; Bott periodicity; crystalline cohomology; differential graded algebra; de Rham complex; Gel'fand-Fuks cohomology theory of infinite-dimensional Lie algebras Feĭgin, Boris; Tsygan, Boris, Additive \(K\)-theory and crystalline cohomology, Funktsional. Anal. i Prilozhen., 19, 2, 52-62, 96, (1985) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) non commutative projective geometry; morphisms to projective bundles; functor of points; symmetric algebras; bimodules | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Kac-Moody Lie algebras; Kac-Moody groups; representation theory; flag varieties; semisimple simply-connected algebraic groups; parabolic subgroups; Weyl-Kac character formula; \(\mathfrak n\)-homology; ind-varieties; pro-groups; pro-Lie algebras; Tits systems; Demazure character formula; Schubert varieties; Cohen-Macaulay varieties; Borel-Weil-Bott theorem; Bernstein-Gelfand-Gelfand resolution; Kempf resolution; Cartan subalgebras; generalized Cartan matrix; Plücker relations; nil-Hecke rings; cup products; Leray-Serre spectral sequence; smoothness of Schubert varieties; affine Kac-Moody algebras Kumar, S., Kac-Moody groups, their flag varieties and representation theory, 204, (2002), Birkhäuser Boston, Inc.: Birkhäuser Boston, Inc., Boston, MA | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) quantum partial flag varieties; invariant prime ideals; completely prime ideals; stratifications; simply connected split semisimple algebraic groups; Lie algebras of algebraic groups; quantized universal enveloping algebras; quantized coordinate rings Milen Yakimov, A classification of \(H\)-primes of quantum partial flag varieties, Proc. Amer. Math. Soc. 138 (2010), no. 4, 1249-1261. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) quintic threefolds; number of rational curves; Hilbert scheme of twisted cubics; enumerative geometry Ellingsrud, G.; Strømme, S. A., The number of twisted cubic curves on the general quintic threefold, Math. Scand., 76, 5-34, (1995) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) graded algebras; tame hereditary algebras; categories of finite-dimensional right modules; Auslander-Reiten translations; endofunctors; indecomposable projective modules; orbit algebras; algebras of invariants; wild canonical algebras; quivers; indecomposable modules; automorphic forms Lenzing, H.: \textit{Wild canonical algebras and rings of automorphic forms. In Finite-dimensional algebras and related topics (Ottawa, ON, 1992)}, volume 424 of NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 191-212. Kluwer Acad. Publ., Dordrecht, 1994 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) graded skew Clifford algebras; noncommutative quadratic forms; rank; point modules Vancliff, M.; Veerapen, P. P., Point modules over regular graded skew Clifford algebras, Journal of Algebra, 420, 54-64, (2014) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) projectively related rational curves; geometry of rational parameterized representations; kernel variety; projective kinematics -- Generatrices of rational curves.Journal of Geometry 73 (2002), 134--147. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) rings of differential operators; algebraic curves; maximal commutative subalgebras; Weyl algebras Berest, Y; Wilson, G, Mad subalgebras of rings of differential operators on curves, Adv. Math., 212, 163-190, (2007) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) rings of regular functions; smooth affine curves; rings of differential operators; intersection of primary subspaces; lattices of right ideals; primary decomposable subspaces; moduli spaces; Weyl algebras Cannings, R. C. and Holland, M. P.: Right ideals of rings of differential operators, J. Algebra 167 (1994), 116--141. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) textbook; commutative algebra; commutative rings; local rings; Dedekind rings; normalization; rings of integers; affine algebras; algebraic curves; singularities of curves | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) dimension of a projective algebraic variety; homogeneous polynomials; time of the algorithm A. L. Chistov, ''Polynomial-time computation of the dimension of algebraic varieties in zero-characteristic,'' J. Symbolic Comput., 22, No. 1, 1--25 (1996). | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) textbooks (algebraic geometry); foundations of algebraic geometry; special algebraic varieties; algebraic curves; projective space curves; linkage; complete intersections D. Perrin, \textit{Algebraic Geometry}, Springer, London, 2008. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) universal algebraic geometry; variety of algebras; category; Noetherian properties; free algebra; geometrical equivalence; logical equivalence; algebraic sets B. Plotkin, ''Some Results and Problems Related to Universal Algebraic Geometry,'' Intern. J. Algebra Comput. 17(5--6), 1133--1164 (2007). | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) height function; Mordell's conjecture; twisted Fermat curves; dual pairs of type II; symplectic form; unitary groups; irreducible dual reductive pairs; parabolic subgroups; non-ramified type I dual reductive pairs; irreducible admissible representations; Hecke algebras DOI: 10.1112/plms/s3-55.3.465 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative projective geometry; Calabi-Yau algebra; Possin structure; holomorphic foliation; noncommutative deformation; foliations; deformation quantization; quadratic algebra; skew polynomial ring; quantum deformations; Kozul algbebra; superpotensial Pym, B., Quantum deformations of projective three-space, Adv. Math., 281, 1216-1241, (2015) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Calogero phase spaces; coadjoint orbits; infinite dimensional Lie algebras; noncommutative symplectic geometry; varieties of representations; deformed preprojective algebras Bocklandt, R., Le Bruyn, L.: Necklace Lie algebras and noncommutative symplectic geometry. Math. Z. \textbf{240}, 141-167 (2002). arXiv:math/0010030 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) linear groups; real curves; projective curves; function fields; strong Hasse principle; homogeneous spaces; existence of \(K\)-rational points; weak approximation; density of local points; diagonal image; central isogeny; principal homogeneous spaces; projective algebraic varieties; reciprocity law; obstruction to the Hasse principle; obstruction to weak approximation; Galois cohomology Jean-Louis Colliot-Thélène, Groupes linéaires sur les corps de fonctions de courbes réelles, J. Reine Angew. Math. 474 (1996), 139 -- 167 (French). | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) quantum algebras; flag varieties; quantum Grassmannians; coordinate algebras; projective coordinate rings | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) deforming algebras of functions; quantum groups; noncommutative spaces; categories of graded modules Vancliff M., Algebras and representation theory | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) varieties of complexes; projective varieties; algebras of global dimension at most two; homologies of complexes; smooth morphisms | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) twisted bi-symplectic structure; twisted Calabi-Yau algebras; Koszul dual algebras; derived noncommutative geometry | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative ampleness; left ample; right ample; twisted homogeneous coordinate ring; bimodule algebra | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) current algebra; fusion rings; rational conformal field theories; cohomology of homogeneous spaces; chiral fields; chiral algebras; computation of the discriminant of a polynomial D. Gepner. ''Fusion rings and geometry''. Comm. Math. Phys. 141 (1991), pp. 381--411.DOI. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) algebraic \(K\)-theory; Merkurev-Suslin Theorem; Milnor's \(K\)-theory of \(K_ 0\), \(K_ 1\) and \(K_ 2\) of rings; symbols; plus-construction; homotopy group; higher algebraic \(K\)-theory; classifying space of a small category; small exact category; higher algebraic \(K\)-groups; Resolution Theorem; Devissage Theorem; Localization Exact Sequence; Serre subcategory; noetherian scheme; sheaves; Mayer-Vietoris sequence; Homotopy Property; Projective Bundle Theorem; Brown-Gersten-Quillen Spectral Sequence; Gersten's Conjecture; long exact sequence; Chow groups of algebraic varieties; Albanese variety; localization theorem Srinivas, V.: Algebraic K-theory. Progress in Math. vol. 90, Birkhäuser (1991) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) cohomological dimension; regular local rings; local cohomology; singular homology; anishing results for relative singular homology groups with complex coefficients; subvarieties of projective space Huneke, C.; Lyubeznik, G., \textit{on the vanishing of local cohomology modules}, Invent. Math., 102, 73-93, (1990) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) geometric invariants; noncommutative algebraic geometry; noncommutative projective bundle; point module; flat families of truncated point-modules; bimodule Segre embedding A. Nyman, Points on quantum projectivizations, preprint, 2000. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) dimension one complete equicharacteristic reduced noetherian local rings; coefficient fields; singularity of dimensional type 1 [Gr]Granja, A.: Coefficient fields for plane curves and equisingularity.Comm. Algebra 18, 193--208 (1990) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) special linear groups; unipotent matrices; elementary matrices; connected smooth projective curves; coordinate rings; affine curves; ideal class groups A. W. Mason, Unipotent matrices, modulo elementary matrices, in \?\?\(_{2}\) over a coordinate ring, J. Algebra 203 (1998), no. 1, 134 -- 155. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) regular ring; global dimension; regularity for non-commutative rings; ring of differential operators; normal toric algebra; conic module; complete conic module; projective resolution; non-commutative resolution; non-commutative crepant resolution; simplicial algebra; chambers of constancy; hyperplane arrangement; acyclicity Lemma; Frobenius map; Kunz's Theorem; F-regularity; minimal model program; rational singularities | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) derived categories of modules; coherent sheaves; curves with simple singularities; nodal rings; configurations of projective lines; matrix problems; categories of triples; Cohen-Macaulay modules; surface singularities; vector bundles over projective curves I. Burban and Y. Drozd, ''Derived categories for nodal rings and projective configurations,'' Noncommut. Alg. Geom., 243, 23--46 (2005). | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) central simple algebras; algebraic groups; projective homogeneous varieties; Severi-Brauer varieties; Weil transfer; Chow groups and motives; canonical dimension and incompressibility Karpenko, N.: Incompressibility of products of Weil transfers of generalized Severi-Brauer varieties. Math. Z. (to appear) (2014) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) semiprime left Goldie algebras; equivariant embeddings; rational actions of linear algebraic groups; spectra of rational ideals; rings of fractions N. Vonessen, Actions of algebraic groups on the spectrum of rational ideals, J. Algebra 182 (1996), no. 2, 383--400. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) smooth projective varieties; flag varieties; Miyaoka's semipositivity theorem; cotangent bundle; rational surfaces; divisorial contractions; fibrations; crystalline differential operators; étale fundamental group; semistability; reflexives sheaves; semipositive sheaves; uniruled varieties; Riemann-Hilbert correspondence; stable Higgs bundle; Chern classes; flat connections; Artin's criterion of contractibility; Kodaira dimension; Hirzebruch surface; canonical divisor; surfaces of general type; Barlow's surfaces; del Pezzo surfaces; Fano three-folds | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) linear systems of curves; generality on pointsets in projective 2-space; very ample divisor; blowing-up a finite set of points; Cayley-Bacharach theorem | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) algebraic cellular automaton; complete algebraic variety; projective algebraic variety; amenable group; Krull dimension; algebraic mean dimension; preinjectivity; Garden of Eden theorem | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) quadratic space; conic bundle surface; resolution of singularities; orders in quaternion algebras | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) line-geometry; quadratic line complex; integral quadratic form; orbifold; automorph; commensurability class; projective equivalence; rational equivalence; Conway's excesses | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) decidability; Hilbert's Tenth Problem; uncomputably large integral points on algebraic curves; diophantine prefix; polynomials; height bounds; geometry of complex surfaces and 3-folds J.M. Rojas, Uncomputably large integral points on algebraic plane curves?, Theoret. Comput. Sci., 235 (this Vol.) (2000) 145--162. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) theta functions; bounded symmetric domains; imaginary quadratic number fields; rings of integers; lattices; modular forms K. Matsumoto: Algebraic relations among some theta functions on the bounded symmetric domain of type \(I_r,r\) , Kyushu J. Math. 60 (2006), 63--77. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) elliptic curves with complex multiplication; curves of genus 2; Jacobians; product surfaces; abelian variety; Humbert invariant; binary and ternary quadratic forms; idoneal numbers; mass formula Kani, E., Jacobians isomorphic to a product of two elliptic curves and ternary quadratic forms, J. Number Theory, 139, 138-174, (2014) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) algebraic groups; adjoint groups; R-equivalence; nondyadic local fields; function fields of curves; algebras with involution; Hermitian forms; Rost invariant R. Preeti and A. Soman, Adjoint groups over \Bbb Q_{\?}(\?) and R-equivalence, J. Pure Appl. Algebra 219 (2015), no. 9, 4254 -- 4264. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) \(p\)-adic \(L\)-functions; elliptic curves; rational points; cyclotomic characters; interpolation; projective limit of the group of global units; \(p\)-adic height Perrin-Riou, Bernadette, Fonctions \(L\) \(p\)-adiques d'une courbe elliptique et points rationnels, Ann. Inst. Fourier (Grenoble), 0373-0956, 43, 4, 945-995, (1993) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) tropical geometry; quartic curves; bitangent lines; Jacobians; moduli of curves | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) linear derivations; Lie algebra; formal differential operators; tensor algebra; Gelfand-Kirillov dimension; symmetric algebra; smooth affine variety; global differential operators S. P. Smith, Gel\(^{\prime}\)fand-Kirillov dimension of rings of formal differential operators on affine varieties, Proc. Amer. Math. Soc. 90 (1984), no. 1, 1 -- 8. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) F-form; moduli space of pointed stable curves; rationality; twisted form of moduli spaces. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) pseudoquaternion homeomorphism; fundamental theorem of projective geometry | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) deformations of tetragonal canonical curves; projective extensions; complete intersections on scrolls; rolling deformations; \(K3\) surfaces Stevens J., Rolling factors deformations and extensions of canonical curves, Doc. Math. 6 (2001), 185-226, electronic. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) real algebraic geometry; real algebraic varieties; complexification; Smith's theory; Galois-Maximal varieties; algebraic cycles; real algebraic models; algebraic curves; algebraic surfaces; topology of algebraic varieties; regular maps; rational maps; singularities; algebraic approximation; Comessatti theorem; Rokhlin theorem; Nash conjecture; Hilbert's XVI problem; Cremona group; real fake planes | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) twisted homogeneous coordinate ring; torsion modules M. Artin and M. Van den Bergh, ''Twisted homogeneous coordinate rings,''J. Algebra,133, No. 2, 249--271 (1990). | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) \(A\)-infinity algebras; Ext-algebras; Koszul dualities; projective complete intersections; derived categories; free resolutions; differential graded algebras; Clifford algebras; coherent sheaves Baranovsky, V.: BGG correspondence for projective complete intersections. Int. Math. Res. Not. \textbf{2005}(45), 2759-2774 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) fibre product of Noetherian rings; prime ideals of a fibre product of rings; Noetherian schemes DOI: 10.1017/S0305004100062794 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative algebraic geometry; spectrum of an abelian category; localizations; canonical topologies A. L. Rosenberg, Noncommutative local algebra, Geometric and Functional Analysis 4 (1994), 545--585. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) rings of differential operators; semisimple Lie algebras; gluing of categories DOI: 10.1017/S1474748002000154 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) algebraic structures; equations; algebraic sets; radical ideal; coordinate algebra; Zariski topology; equationally Noetherian algebras; \(q_\omega\)-compactness; \(u_\omega\)-compactness; metacompact algebras; metacompact spaces; equationally Artinian algebras; prevarieties; varieties; free algebras; equational domains; Hilbert's basis theorem P. Modabberi and M. Shahryari, Compactness conditions in universal algebraic geometry, Algebra Logic 55 (2016), no. 2, 146-172. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) étale \(p\)-covers; torsionless fundamental group; group acting on scheme; \(p\)-ranks of smooth projective curves; characteristic \(p\); Euler-Poincaré characteristic; singular Enriques surface Crew, Richard M., Etale \(p\)-covers in characteristic \(p\), Compositio Math., 52, 1, 31-45, (1984) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Gromov-Witten invariants; enumerative geometry; number of elliptic plane curves Pandharipande, R, Counting elliptic plane curves with fixed \(j\)-invariant, Proc. Am. Math. Soc., 125, 3471-3479, (1997) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) essential dimension; stack; gerbe; moduli of curves; moduli of abelian varieties Patrick Brosnan, Zinovy Reichstein, and Angelo Vistoli, \emph{Essential dimension of moduli of curves and other algebraic stacks}, J. Eur. Math. Soc. (JEMS) 13 (2011), no.~4, 1079--1112, With an appendix by Najmuddin Fakhruddin. DOI 10.4171/JEMS/276; zbl 1234.14003; MR2800485; arxiv math/0701903 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) quantum groups; roots of unity; localization; derived equivalence; Calabi-Yau categories; noncommutative algebraic geometry E. Backelin and K. Kremnizer, ''Localization for quantum groups at a root of unity,'' J. Amer. Math. Soc., vol. 21, iss. 4, pp. 1001-1018, 2008. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Grassmannian variety; quadric fibration over a smooth curve; Castelnuovo's bound for the genus of projective curves Arrondo, E.; Bertolini, M.; Turrini, C.: Quadric bundle congruences in \(G(1,n)\). Forum math. 12, 649-666 (2000) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) algebraic group schemes; non-reduced group schemes; minimal splitting fields; Galois groups; coordinate rings; groups of rational characters; maximal tori; connected unipotent groups; products of reductions | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative regular rings; cyclic quotient singularities; rational double points; rings of invariants; local dualities; dualizing complexes; Gorenstein singularities; Cohen-Macaulay singularities Chan, D.: Noncommutative rational double points. J. algebra 232, 725-766 (2000) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) monoidal transformation of the complex projective plane; Néron-Severi group; effective divisor; exceptional curves Rosoff, J., Effective divisor classes and blowings-up of \(\mathbb P^2\), Pacific J. Math., 89, 2, 419-429, (1980) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) \(C_{ab}\) curves; Jacobian variety; addition of divisors; reduction algorithms; intersections in projective space | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) theta series; Siegel modular forms; graded rings of modular forms | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Gorenstein algebras; unimodal \(h\)-sequences; Hilbert series; graded ring; linkage class of a complete intersection Beintema, M. B.: Gorenstein algebras with unimodal h-sequences. Comm. algebra 20, 979-997 (1992) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Manin's conjecture; rational points; bounded height; tri-linear form; tri-projective space; circle method; asymptotic formula; geometry of numbers Mignot, T, Points de hauteur bornée sur LES hypersurfaces lisses de l'espace triprojectif, Int. J. Number Theory, 11, 945-995, (2015) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) hypersurfaces containing projective curves; number of linearly independent hypersurfaces; inflection points S. L\(^{\prime}\)vovsky, On inflection points, monomial curves, and hypersurfaces containing projective curves, Math. Ann. 306 (1996), no. 4, 719 -- 735. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) conjecture of Beilinson and Bloch; rank of the Griffiths group; smooth projective variety over a number field; order of vanishing of an L-function; elliptic curves J. Buhler, C. Schoen, and J. Top, ''Cycles, \(L\)-functions and triple products of elliptic curves,'' J. reine angew. Math., vol. 492, pp. 93-133, 1997. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) parametric solutions; system of quadratic diophantine equations; rectangular parallelepiped; integral edges and face diagonals; intersection of three quadrics in five-dimensional projective space Bremner, A.: The rational cuboid and a quartic surface. Rocky mountain J. Math. 18, No. 1, 105-121 (1988) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Berkovich spaces; degenerations of curves; tropical geometry | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) holomorphic vector bundle; moduli space; instable bundle; sheaf of extensions; curves in projective 3-space | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) semisimple algebraic groups; connected semilocal rings; Tits indices; projective homogeneous varieties [83] Petrov V., Stavrova A., ''Tits indices over semilocal rings'', The Tits indices over semilocal rings, 16:1 (2011), 193--217 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) number of rational points; algebraic curves over finite fields; quadratic forms over finite fields Wolfmann J.: The number of points on certain algebraic curves over finite fields. Commun. Algebra \textbf{17}, 2055-2060 (1989). | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Kazhdan-Lusztig conjecture; symmetrizable Kac-Moody Lie algebras; \({\mathcal D}\)-modules; flag variety; representations; geometry of Schubert varieties; Kazhdan-Lusztig polynomials; mixed Hodge modules O.J. Ganor, \textit{Supersymmetric interactions of a six-dimensional self-dual tensor and fixed-shape second quantized strings}, \textit{Phys. Rev.}\textbf{D 97} (2018) 041901 [arXiv:1710.06880] [INSPIRE]. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) \(SK_ 0\); \(SK_ 1\); coordinate ring of a projective variety; Pic; Witt vectors; K-theory transfer map B.H. Dayton and C.A. Weibel, On the naturality of Pic, SK0 and SK1, to appear. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) affine varieties; plane curves; projective varieties; morphisms; resolution of singularities; Riemann-Roch theorem Fulton, William, Algebraic curves. {A}n introduction to algebraic geometry, (2008) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) intersection theory of moduli spaces of curves; matroid Chow rings; polynomials of matroids | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) cubic curve; Euclidean plane; pencil of curves; associated point; Neuberg cubic; projective plane H. S. M. Coxeter,Cubic Curves related to a Quadrangle, C. R. Math. Rep. Acad. Sci. Canada15 (1993), 237--242. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) universal algebraic geometry; free modules over Lie algebras; free semimodules over semirings; semi-inner automorphisms; varieties of universal algebras; congruences of finitely generated free algebras; automorphism groups; free Lie modules Katsov, Y.; Lipyanski, R.; Plotkin, B., Automorphisms of categories of free modules, free semimodules, and free Lie modules, Comm. Algebra, 35, 931-952, (2007) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Koszul algebras; projections of the Veronese surface; diagonal algebras; complete intersections Caviglia, G; Conca, A, Koszul property of projections of the Veronese cubic surface, Adv. Math., 234, 404-413, (2013) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) number of twisted cubic curves Ellingsrud, G. and Strømme, S.: The number of twisted cubic curves on the generic quintic threefold. Preprint (1991) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Cohen-Macaulay; graphs; odd cycle condition; projective dimension; regularity; toric rings | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) moduli space of curves; Gromov--Witten theory; tautological rings; tautological relations D. Arcara and Y.-P. Lee, Tautological equations in genus 2 via invariance constraints, Bull. Inst. Math. Acad. Sin. (N.S.) 2 (2007), no. 1, 1 -- 27. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative algebraic geometry; triangulated categories; tilting complexes; Serre functors; quiver algebras Minamoto, H, Ampleness of two-sided tilting complexes, Int. Math. Res. Not. IMRN, 2012, 67-101, (2012) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) logarithmic geometry; moduli of curves; intersection theory; Jacobians of curves | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) nonsingular weighted projective variety; finite dimensional algebra; derived category of bounded complexes; coherent sheaves; tilting sheaf; triangulated category; endomorphism algebra; finite global dimension; equivalences; weighted projective space D. Baer, ''Tilting sheaves in representation theory of algebras,'' Manuscripta Math. 60 (3), 323--347 (1988). | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Hilbert modular surfaces; topological manifolds; geometric structures on manifolds; algebraic numbers; rings of algebraic integers; real and complex geometry; geometric constructions | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) projective analytic geometry; plane curves | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative algebraic geometry; Brown-Gersten-Quillen spectral sequence; fully bounded noetherian ring | 0 |
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