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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) rings of differential operators; genus; noncommutative surfaces; birational invariants
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 stacks of algebraic curves; vertex algebras; D-modules; conformal blocks Szczesny, M.: Orbifold conformal blocks and the stack of pointed G-cover, J. geom. Phys. 56, 1920-1939 (2006)
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 curves; fundamental groups; coverings; logarithmic geometry; theory of descent; anabelian geometry Stix J., Projective anabelian curves in positive characteristic and descent theory for log étale covers, Bonner Math. Schriften 354, Universität Bonn, Bonn 2002.
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) Poisson structures; projective spaces; Poisson structures of hydrodynamic type; elliptic \(r\)-matrix; quadratic Poisson structures; elliptic functions; 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) parametrizing bimodules; homogeneous modules; canonical tubular algebras; weighted projective lines; coherent sheaves; derived categories; indecomposable modules; Auslander-Reiten quivers; regular connected components Dowbor, P.; Meltzer, H.; Mróz, A.: Parametrizations for integral slope homogeneous modules over tubular canonical algebras, Algebr. represent. Theory 17, 321-356 (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 geometry of universal algebras; algebraic sets; additive universal algebras A. G. Pinus, ''Algebras with identical algebraic sets,'' \textit{Algebra and Logic}, 54, No. 4, 316-322 (2015).
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 curves; Goppa codes; algebraic-geometry codes; constructions of linear codes Chaoping Xing, Harald Niederreiter, and Kwok Yan Lam, Constructions of algebraic-geometry codes, IEEE Trans. Inform. Theory 45 (1999), no. 4, 1186 -- 1193.
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) complete subfamilies of rational curves; integral 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) Néron desingularization; regular local morphism of noetherian rings Popescu, D., Letter to the editor: ``general Néron desingularization and approximation'', Nagoya Math. J., 118, 45-53, (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) polynomial ring; homological dimension; 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) curves in the unstable range; projective curves of higher genus; moduli space; cohomology; principally polarized Abelian varieties
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) coordinate ring of a finite set of points; geometry of the configuration; minimal resolution conjecture
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) family of algebraic curves; pointed curves; projective connection; determinant line bundle Y. Tsuchimoto, \textit{On the coordinate-free description of conformal blocks}, J. Math. Kyoto. Univ. \textbf{1} (1993), 29-49.
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) geometry of group representations; \(SL_ 3(k)\)-module; adjoint action; projective plane Smith, S.; Völklein, H.: A geometric presentation for the adjoint module of \(SL3(K)\). J. algebra 127, 127-138 (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) arithmetic geometry codes; curves with many rational points; modular curves; class field theory; Deligne-Lusztig curves; infinite global fields; decoding of AG-codes; sphere packings; codes from multidimensional varieties; quantum AG-codes
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) geometrical formulation of quantum mechanics; information geometry; Fisher metric; exponential connection; complex projective space; Kähler structure 31.M. Molitor, Remarks on the statistical origin of the geometrical formulation of quantum mechanics. Int. J. Geom. Meth. Mod. Phys. 9(3), 1220001 (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) elliptic curves with complex multiplication; elliptic curves over an imaginary quadratic field; Iwasawa theory; supersingular primes; Schneider-Greenberg conjecture; \(p^ m\)-torsion subgroups; \(\mathbb{Z}_ p\)-cyclotomic extensions; maximal proextensions; special values of modular \(L\)-functions; elliptic units Mcconnell, G.: On the Iwasawa theory of CM elliptic curves at supersingular primes, Compos. math. 101, 1-19 (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) quantum complete intersections; vanishing of cohomology; symmetric algebras; graded modules Bergh, PA, Ext-symmetry over quantum complete intersections, Arch. Math. (Basel), 92, 566-573, (2009)
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) rank two stable reflexive sheaf; bound for the third Chern class; bound on genus of curves in projective 3-space Hartshorne, R, Stable reflexive sheaves III, Math. Ann., 279, 517-534, (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) birational geometry; moduli spaces; rational curves; projective varieties Y.-H. Kiem, Birational geometry of moduli spaces of rational curves in projective varieties, In: Higher dimensional algebraic geometry, RIMS Kôkyûroku Bessatsu, B24 , Res. Inst. Math. Sci. (RIMS), Kyoto, 2011, pp.,67-79.
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 curves; positive characteristic; Frobenius morphism; moduli space of vector bundles \beginbarticle \bauthor\binitsH. \bsnmLange and \bauthor\binitsC. \bsnmPauly, \batitleOn Frobenius-destabilized rank-\(2\) vector bundles over curves, \bjtitleComment. Math. Helv. \bvolume83 (\byear2008), page 179-\blpage209. \endbarticle \endbibitem
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) irreducible components; finite-dimensional algebras; projective varieties; varieties of modules; varieties of representations 10.1090/conm/562/11135
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) descent; local homomorphsm of Noetherian local rings; ascent Luchezar L. Avramov, Hans-Bjørn Foxby, and Stephen Halperin, Descent and ascent of local properties along homomorphisms of finite flat dimension, J. Pure Appl. Algebra 38 (1985), no. 2-3, 167 -- 185.
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) enumerative geometry of moduli spaces of curves; generators of Picard group; nodal curves; Severi problem; Severi varieties; divisor classes S. Diaz - J. Harris, Geometry of Severi varieties, Trans. Amer. Math. Soc. 309 (1988) 1-34. Zbl0677.14003 MR957060
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; quantum homogeneous spaces; differential calculi; noncommutative geometry; Kähler 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) moduli space of marked Riemann surfaces; singular Riemann surfaces; Lie algebras of meromorphic vector fields; elliptic curves; complex tori; algebraic geometric degeneration; Riemann sphere M. Schlichenmaier, ''Degenerations of Generalized Krichever-Novikov Algebras on Tori,'' J. Math. Phys. 34, 3809--3824 (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) local field of arbitrary dimension; multidimensional algebraic geometry; duality theory; analogy of; classical class field theory; description of Abelian extensions in; terms of higher K-functors; Artin-Schreier dualities; fundamental almost-isomorphism Parshin, A. N., No article title, Proc. Steklov Inst. Math., 165, 157-185, (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) graded modules; Hilbert series; rank functions; global dimension; cohomological dimensions; Auslander-Gorenstein algebras; regular algebras; Picard groups; Grothendieck groups I. MORI AND S. P. SMITH, Bézout's theorem for noncommutative projective spaces, J. Pure Appl. Algebra 157 (2001), 279-299.
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) Weierstrass point; Brill-Noether theory; Kodaira dimension; degenerations; smoothings of linear series; moduli space of curves of genus g; monodromy group Eisenbud, D., Harris, J.: The irreducibility of some families of linear series. (Preprint 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) quaternion algebras; quadratic forms; Shimura curves Alsina, M.; Bayer, P., \textit{quaternion orders, quadratic forms, and Shimura curves}, (2004), American Mathematical Society, Providence, RI
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) differential graded categories; triangulated categories; noncommutative schemes; noncommutative geometry; perfect complexes Orlov, D., \textit{smooth and proper noncommutative schemes and gluing of DG categories}, Adv. Math., 302, 59-105, (2016)
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) projection of smooth surfaces; trisecant variety; surface in projective \(5\)-space; degree; inner projection; Veronese surface Bauer I. (1995). Inner projections of algebraic surfaces: a finiteness result. J. Reine Angew. Math. 460, 1--13
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 invariants; invariant quotients; non-projective quotients; open immersions into projective varieties; quiver factorization problems Halic, M.; Stupariu, M. -S.: Rings of invariants for representations of quivers, CR math. Acad. sci. Paris 340, No. 2, 135-140 (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) Cohen-Macaulay rings; Gorenstein rings; semigroup rings; associated graded rings; Hilbert function of a local ring; \(h\)-polynomial
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) structure sheaves; spectra of noncommutative rings; torsion theoretic spectrum; dual metric; Y-order topologies J. S. Golan, ''More topologies on the torsion-theoretic spectrum of ring,''Period. Math. Hung.,21, No. 4, 257--260 (1990).
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) ordinary singularities of curves; coordinate ring of a curve; Hilbert function; Cohen-Macaulay type; K-theory Gupta, S. K.; Roberts, L. G., Cartesian squares and ordinary singularities of curves, \textit{Commun. Algebra}, 11, 2, 127-182, (1983)
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 geometry; toric geometry; isospectral deformations; braided monoidal categories; deformations of algebraic tori; noncommutative Grassmannian; noncommutative instantons Cirio, L.S., Landi, G., Szabo, R.J.: Algebraic deformations of toric varieties. I: general constructions. Adv. Math. \textbf{246}, 33 (2013). arXiv:1001.1242 [math.QA]
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) general linear groups; Borel subgroups; Lie algebras of matrices; Lie ideals; dense orbits; quasi-hereditary algebras; dimension vectors Goodwin, S.M., Hille, L.: Prehomogeneous spaces for Borel subgroups of general linear groups. Transform. Groups (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) secant variety; Segre variety; Veronese embedding; products of projective spaces; defectivity; tensor rank; partially symmetric tensor; Grassmann defectivity; Segre-Veronese embeddings M. V. Catalisano, A. V. Geramita, and A. Gimigliano, Higher secant varieties of Segre-Veronese varieties, Projective varieties with unexpected properties, Walter de Gruyter, Berlin, 2005, pp. 81 -- 107. Adam Van Tuyl, An appendix to a paper of M. V. Catalisano, A. V. Geramita and A. Gimigliano. The Hilbert function of generic sets of 2-fat points in \Bbb P\textonesuperior \times \Bbb P\textonesuperior : ''Higher secant varieties of Segre-Veronese varieties'' [in Projective varieties with unexpected properties, 81 -- 107, Walter de Gruyter GmbH & Co. KG, Berlin, 2005; MR2202248], Projective varieties with unexpected properties, Walter de Gruyter, Berlin, 2005, pp. 109 -- 112.
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 geometry; syzygies; projective normality; normal presentation; higher dimensional varieties with nef canonical bundle; Fujita's conjecture; pluricanonical linear systems on varieties of general type
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) research monographs; theta functions; modular forms; zeta functions; Jacobians; moduli spaces of curves; symplectic geometry Mumford, D., Tata lectures on theta I, Modern birkhäuser classics, (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) support varieties; finite group schemes; \(\pi\)-points; coordinate algebras; modules of constant Jordan type; modular representations Eric M. Friedlander and Julia Pevtsova, Generalized support varieties for finite group schemes, Doc. Math. Extra vol.: Andrei A. Suslin sixtieth birthday (2010), 197 -- 222.
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 vertex operator algebra; semi-infinite Plücker-type relations; homogeneous coordinate ring
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) kroneckerian dimension of fields; quadratic transformations; towers; pillars; dicritical divisors Abhyankar, S.S.: Pillars and towers of quadratic transformations. Proc. Am. Math. Soc. 139, 3067--3082 (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) birational algebras; Zariski central rings; ideal theory of birational extensions
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) algorithms; generators and relations; rings of semi-invariant functions; gentle algebras; semigroup rings; matching graphs Carroll, AT; Weyman, J, Semi-invariants for gentle algebras, Contemp. Math., 592, 111-136, (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) supersingular curve; complete Edwards curve; twisted Edwards curve; quadratic Edwards curve; torsion pair; order of point; Legendre symbol; quadratic residue; quadratic nonresidue
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) Birch--Swinnerton-Dyer conjecture; rank; group of rational points; elliptic curves; class number; quadratic 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) methods of algebraic geometry; theory of curves and vector bundles; integrable systems E. Previato, \textit{Seventy years of spectral curves: }1923\textit{--}1993. Integrable systems and quantum groups (Montecatini Terme, 1993), 419--481, Lecture Notes in Math., 1620, Fond. CIME/CIME Found. Subser., Springer, Berlin, 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) weight one; space of holomorphic cusp forms; upper bound; dimension; modular curves; quartic fields; space of differential forms; Fourier coefficients; normalized newforms; Galois representations W. Duke, ''The dimension of the space of cusp forms of weight one,'' Internat. Math. Res. Notices, vol. 1995, iss. 2, p. no. 2, 99-109.
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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) rings of differential operators; non-holonomic \(\mathcal D\)-modules; irreducible smooth projective varieties; critical modules Coutinho, S. C.: Nonholonomic simple D-modules over projective varieties, Arch. math. (Basel) 86, No. 6, 540-545 (2006)
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) algebra of projective invariants of quartic plane curves Dixmier J. On the projective invariants of quartic plane curves. Adv Math, 1987, 64: 279--304
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) local rings; completion; Artin approximation; preorderings; curve singularities; positive polynomials; sums of squares; real algebraic geometry; henselian ring; excellent ring; Krull topology; saturation; nonnegativity certificate; real spectrum; constructible topology; spectral topology; basic semialgebraic sets; local global principles C. Scheiderer, \textit{Weighted sums of squares in local rings and their completions}, I. Math. Z., 266 (2010), pp. 1--19.
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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) graded isolated singularities; graded maximal Cohen-Macaulay modules; AS-Gorenstein algebras; Serre functors; cluster tilting objects; Veronese subalgebras Ueyama, Kenta, Graded maximal Cohen-Macaulay modules over noncommutative graded Gorenstein isolated singularities, J. Algebra, 383, 85-103, (2013)
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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) noncommutative projective space; Koszul duality; Bernstein-Gel'fand-Gel'fand correspondence; graded Frobenius algebra; periodic injective resolution Jørgensen, P.: A noncommutative BGG correspondence, Pacific J. Math. 218, 357-377 (2005)
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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) transitive irreducible graded Lie superalgebras; Lie superalgebras of vector fields; supermanifolds; flag homogeneous spaces Onishchik, A. L.: Lie groups and Lie algebras I. Encyclopedia of mathematical sciences 20 (1991)
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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) Jacobian variety; rational points; linear pencil of projective plane curves; Mordell-Weil lattices; Manin-Shafarevich theorem; height pairing; Lefschetz pencils of hyperplane sections Shioda, T.: Generalization of a theorem of Manin-Shafarevich. Proc. Japan acad. 69A, 10-12 (1993)
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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) isotriviality; effective Mordell; semiabelian variety; positive characteristic; survey of diophantine geometry; bounding the heights of rational points on curves over function fields; semiabelian varieties; Roth's theorem Voloch, José Felipe, Diophantine geometry in characteristic \(p\): a survey.Arithmetic geometry, Cortona, 1994, Sympos. Math., XXXVII, 260-278, (1997), Cambridge Univ. Press, Cambridge
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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) foundations of algebraic geometry; nonnoetherian rings
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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) representations of quivers; non-commutative algebraic geometry; non-commutative curves Chan, D., Nyman, A.: Species and noncommutative \(\mathbb {P}^{1}\)'s over non-algebraic bimodules, in progress
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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) Hopf algebra; coordinate ring; affine algebraic group; hyperalgebra; augmentation ideal; links; cliques; algebra of distributions; locally finite injective hull; pointed clique; filter of ideals; graded algebra DOI: 10.1080/00927879408825095
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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) cohomology ring; graded Frobenius algebras; cup product; cohomology of Hilbert scheme Lehn, M; Sorger, C, The cup product of Hilbert schemes for \(K3\) surfaces, Invent. Math., 152, 305-329, (2003)
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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) weighted projective line; coherent sheaf; almost-split sequence; Auslander-Reiten theory; finite-dimensional algebra; quiver; derived category; exceptional object; categories of coherent sheaves; hereditary noetherian categories; tubular family H. Lenzing, Hereditary Noetherian categories with a tilting complex, Proc. Amer. Math. Soc., 125 (1997), no. 7, 1893--1901.Zbl 0869.18006 MR 1423314
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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) moduli spaces of curves; intersection numbers; tautological rings; mock theta function K. Liu and H. Xu, Descendent integrals and tautological rings of moduli spaces of curves, Geometry and analysis. Vol. 2, Adv. Lect. Math. (ALM) 18, International Press, Somerville (2011), 137-172.
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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) morphisms of projective varieties; coverings; ramification problems; rational curves Hwang, J.M., Mok, N.: Projective manifolds dominated by abelian varieties. Math. Z. 238, 89--100 (2001)
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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) curves of arbitrary genus; 2-descent on Jacobians; Chabauty-Coleman method; graph of rational preperiodic points of a quadratic polynomial; number of preperiodic points Poonen, B, The classification of rational preperiodic points of quadratic polynomials over \({ Q}\): a refined conjecture, Math. Z., 228, 11-29, (1998)
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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) deformation of manifold and coherent sheaf; differential graded algebra; locally free resolution;trace morphism; hypercohomology; determinant bundle; tangent space; obstruction space; deformation problem controlled; simplicially enriched model category of DG-Lie algebras; module of derivations of pairs; differential operators with principal symbol
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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) Chow groups; tensor triangulated geometry; maximal orders; derived categories of sheaves; noncommutative algebraic geometry
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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) quasinormality of one-dimensional noetherian rings; number of; components of spectrum; localization
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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) moduli space of curves; conformal field theory; D-modules; affine Lie algebra; highest weight; conformal blocks; sheaf of Virasoro algebras; Ward-Takahashi identities Tsuchiya, A.; Ueno, K.; Yamada, Y., Conformal field theory on universal family of stable curves with gauge symmetries, \textit{Adv. Stud. Pure Math.}, 19, 459-566, (1989)
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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) rigid geometry; valuation ring; rigid spaces; uniformization; reduction of curves; Berkovich space
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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) computational geometry; arrangement of curves; parametric surface; \texttt{Cgal}; robust geometric computing; Voronoi diagram; lower envelope; Gaussian map; quadric; ring dupin cyclide Berberich, E., Fogel, E., Halperin, D., Kerber, M., Setter, O.: Arrangements on parametric surfaces II: concretization and applications. Math. Comput. Sci. (2010, accepted)
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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) characteristic \(p\); Galois groups of unramified covers of projective curves K. F. Stevenson, Galois groups of unramified covers of projective curves in characteristic \(p\), Journal of Algebra 44, (To Appear).
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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) noncommutative algebraic geometry; \(\mathbb {Z}\)-algebras; birational transformations; Sklyanin algebras
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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) Frobenius endomorphisms; curves over finite fields; projective curve of genus 5; zeta function Lauter K., Proceedings of the American Mathematical Society 128 (2) pp 369-- (2000)
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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) singular points of curves; admissible rings; duality of fractional ideals; value sets of fractional ideals
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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) quantization; symplectic geometry; toric varieties; representation theory; Hamiltonian actions; moment maps; Duistermaat-Hekmann measures; combinatorial invariants; Riemann-Roch number; dimension of multiplicity Guillemin, V.: Moment Maps and Combinatorial Invariants of Hamiltonian \(T^n\)-Spaces, vol. 122 of Progress in Mathematics. Birkhäuser Boston, Boston (1994)
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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) ring of differential operators; curves; coordinate ring; nilpotent elements [ML] Makar-Limanov, L.: Rings of differential operators on algebraic curves. Bull. Lond. Math. Soc.21, 538--540 (1989)
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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) arithmetic geometry; hyperelliptic curves; bielliptic curves; quadratic points; elliptic curves; modular curves; involutions
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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) torsion subgroup of Galois group; Iwasawa theory; elliptic curves; imaginary quadratic field; \({bbfZ}_{\ell }\)-extension; abelian extension; maximal abelian p-extension
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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) Cox rings; Mori dream spaces; toric varieties; weighted projective planes; symbolic Rees algebras
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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) projective resolutions of graded modules; graded Betti numbers; Hilbert series; Betti number sequence; Hilbert function Rodriguez, M.: Ideals that attain a given Hilbert function. Illinois J. Math. 44, 821-827 (2000)
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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) depth of a module; resolutions of Jacobi modules; non-isolated hypersurface singularities; unfoldings; deformations; Jacobi ideal; projective dimension Pellikaan, G. R.: Hypersurfaces singularities and resolutions of Jacobi modules. (1985)
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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) thickening; patching; formal geometry; Shafarevich conjecture; patching problems; fundamental groups of algebraic curves; Abhyankar conjecture D. Harbater and K. F. Stevenson, ''Patching and thickening problems,'' J. Algebra, vol. 212, iss. 1, pp. 272-304, 1999.
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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) Picard group; quadratic intersection form on the Néron-Severi-group of a compact complex non-algebraic surface; algebraic dimension; 2-vector bundles Brînzânescu, V., Flondor, P.: Quadratic intersection form and -vector bundles on nonalgebraic surfaces, Proc. Conf. on Alg. Geometry, Berlin 1985, Teubner: Band 92, 1986
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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) finite group schemes; coordinate algebras; modules of constant Jordan type; \(W\)-modules; equal images property; modular representations; Grothendieck groups Carlson, J. F.; Friedlander, E. M.; Suslin, A. A., Modules for \(\mathbb{Z} / p \times \mathbb{Z} / p\), Comment. Math. Helv., 86, 609-657, (2011)
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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) curves; group schemes of order p; moduli; twisted curves [2] D. Abramovich & M. Romagny, `` Moduli of Galois \(p\)-covers in mixed characteristics {'', \(Algebra Number Theory\)6 (2012), no. 4, p. 757-780. &MR 29 | &Zbl 1271.}
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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) central simple algebras; algebraic groups; projective homogeneous varieties; Chow groups
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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) complex algebraic curves; Teichmüller theory; elliptic curves; modular forms; Picard groups; hyperbolic geometry; classification of compact Riemann surfaces; moduli theory of compact Riemann surfaces Richard Hain, Moduli of Riemann surfaces, transcendental aspects, School on Algebraic Geometry (Trieste, 1999) ICTP Lect. Notes, vol. 1, Abdus Salam Int. Cent. Theoret. Phys., Trieste, 2000, pp. 293 -- 353.
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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) Lie algebras; Hopf algebras; proalgebraic groups; universal enveloping algebras; coordinate rings; affine algebraic groups Nazih Nahlus, Basic groups of Lie algebras and Hopf algebras, Pacific J. Math. 180 (1997), no. 1, 135 -- 151.
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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) holomorphic vector bundle; moduli space; instable bundle; sheaf of extensions; curves in projective 3-space
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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) rings of differential operators; Calogero-Moser spaces; representation varieties; preprojective algebras; recollements; perverse sheaves Berest, Yu.: Calogero-Moser spaces over algebraic curves, Selecta math. (N.S.) 14, No. 3, 373-396 (2009)
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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) multivariate Faà di Bruno formula; projective algebraic hypersurfaces; jets of holomorphic curves; weak and strong Green-Griffiths algebraic degeneracy Merker, J.: Low pole order frames on vertical jets of the universal hypersurface, Ann. inst. Fourier (Grenoble) 59, No. 3, 1077-1104 (2009)
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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) fields of large transcendence degree; algebraic independence; zero lemmas; zero estimate for group varieties; primary ideal; polynomial rings; algebraic subgroups of products of elliptic curves; effective version of Hilbert's Nullstellensatz; Kolchin theorem; Weierstrass elliptic function Masser, D. W.; Wüstholz, G., Fields of large transcendence degree generated by values of elliptic functions, Invent. Math., 72, 3, 407-464, (1983)
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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) moduli of curves; compactification; tropical geometry
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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) approximation property; formally smooth morphism of local noetherian rings
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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) normal cyclic covers; noetherian graded domain; divisorial ideal; fractional divisor; normal graded rings; isolated singularity Masataka Tomari and Keiichi Watanabe, Normal \(Z_r\)-graded rings and normal cyclic covers , Manuscr. Math. 76 (1992), 325--340.
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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) space of rational curves; Fano hypersurface; expected dimension
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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 over groups; algebraic sets; coordinate groups; systems of equations
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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) geometry of the morphisms from a projective variety to a Grassmannian; dimensions of sections of subsheaves; \(h^ 0\)-stability; \(h^ 0\)-semistability; torsion free sheaf
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