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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 manifolds; Hurwitz spaces of moduli of meromorphic functions on Riemann surfaces; isomonodromic tau-function; quadratic Hamiltonian; Gromov-Witten invariants; Bergmann projective connection A. Kokotov and D. Korotkin, On \(G\)-function of Frobenius manifolds related to Hurwitz spaces , Int. Math. Res. Not. 2004 , no. 7, 343--360. | 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) analytical geometry; differential calculus; algebra; integral calculus; algebraic curves; conic sections; analytical theory of solids L. Euler, \textit{Introduction to the Analysis of the Infinite} (Springer, New York, 1988/1990). | 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) families of Gorenstein \(K3\) surfaces; double cover of the projective plane; curves of (2,3)-torus type; Picard lattice | 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) categories of field extensions; essential dimension; \(G\)-torsors; connected linear algebraic groups; numbers of generators; equivariant resolutions of singularities; quadratic forms; orthogonal groups Chernousov V. and Serre J.-P. (2006). Lower bounds for essential dimensions via orthogonal representations. J. of Algebra 305: 1055--1070 | 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 degeneration of the Veronese surfaces B. Moishezon and M. Teicher, Braid group technique in complex geometry IV: Braid monodromy of the branch curve S 3 of V 3 \(\mathbb{C}\)\(\mathbb{P}\) 2 and application to {\(\pi\)} 1 (\(\mathbb{C}\)\(\mathbb{P}\) 2-S 3,*), Contemporary Mathematics 162 (1993), 332--358. | 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 Artin-Schelter regular algebras; quantum projective spaces; Segre product; quantum planes; embeddings DOI: 10.1006/jabr.1996.0078 | 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) vertex algebras; conformal blocks and coinvariants; connections and Atiyah algebras; sheaves on moduli of curves; Chern classes of vector bundles on 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) Coxeter transformations; hereditary algebras; extended canonical algebras; supercanonical algebras; weighted projective lines; triangulated categories of singularities; stable categories of vector bundles; Milnor lattices Lenzing, H.; de la Peña, J. A., Spectral analysis of finite dimensional algebras and singularities, (Skowroński, A., Trends in Representation Theory of Algebras and Related Topics. Trends in Representation Theory of Algebras and Related Topics, ICRA XII. Trends in Representation Theory of Algebras and Related Topics. Trends in Representation Theory of Algebras and Related Topics, ICRA XII, Series of Congress Reports, (2008), European Math. Soc. Publishing House: European Math. Soc. Publishing House Zürich), 541-588 | 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 over an imaginary quadratic field; Selmer\(groups\); Weil curve; Heegner points; conjecture of Birch and Swinnerton-Dyer | 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; birational geometry; Gieseker--Petri locus; Brill--Noether locus; moving effective divisors; slope; Prym curves G. Farkas, Rational maps between moduli spaces of curves and Gieseker-Petri divisors. \textit{J. Algebraic Geom.}\textbf{19} (2010), 243-284. | 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) conditional algebraic geometry; geometry of universal algebras; implicit operations; pseudovarieties A. G. Pinus, ''The implicit algebraic geometry on the categories of universal algebras,'' Sib. Mat. Zh., 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) projective varieties; groups of automorphisms; transformation groups; complex dynamics; birational 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 geometry; principal comodule algebras; noncommutative principal bundles; Hopf fibrations; homotopy equivalence | 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) smoothness of an algebra; complete intersection; flat dimension; André- Quillen homology; projective dimension of Kähler differentials module DOI: 10.1007/BF01170850 | 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 of third degree; bisecants | 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) normal surface singularities; \({\mathbb C}^*\)-actions; weighted homogeneous; pencils of curves; resolution graphs T. Tomaru: \(\mathbb{C}^{*}\)-equivariant degenerations of curves and normal surface singularities with \(\mathbb{C}^{*}\)-action , | 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; toric ideals; semigroup rings; graphs G. Failla, R. Utano, \textit{Connected graphs arising from products of Veronese varieties}, Algebra Colloq. 23 (2016), 281--292. | 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 twists of elliptic curves; modular forms; \(\mathbb{F}_ p\)-rational points; special values of \(L\)-functions; cubic twists Ono, K, Twists of elliptic curves, Compos. Math., 106, 349-360, (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) Cohen-Macaulay modules; quadratic algebras; \(n\)-dimensional Sklyanin algebras; smooth elliptic curves; linear modules Staniszkis, J. M.: Linear modules over Sklyanin algebras, J. lond. Math. soc. (2) 53, No. 3, 464-478 (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) Koszul duality; finite dimensional graded algebras; Sklyanin algebras; elliptic curves; automorphisms S. Paul Smith, Some finite-dimensional algebras related to elliptic curves, Representation theory of algebras and related topics (Mexico City, 1994) CMS Conf. Proc., vol. 19, Amer. Math. Soc., Providence, RI, 1996, pp. 315 -- 348. | 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) relative invariants; relative Picard group; relative Brauer group; Krull domains; maximal orders; tame orders; group graded rings; Mayer-Vietoris sequence; relative Azumaya algebras; graded orders; central class group; normalizing class group Van Oystaeyen, F.; Verschoren, A.: Relative invariants of rings, part I and II. (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) fundamental group of complement of a plane curve; projective degenerations of the Veronese surface; braid monodromy B Moishezon, M Teicher, Braid group techniques in complex geometry IV: Braid monodromy of the branch curve \(S_3\) of \(V_3{\rightarrow}\mathbbC\mathrmP^2\) and application to \(\pi_1(\mathbbC\mathrmP^2-S_3,*)\), Contemp. Math. 162, Amer. Math. Soc. (1994) 333 | 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) finitely generated modules; trace ideals; finite groups; skew group rings; actions; rings of invariants; symmetric algebras; rational representations; reductive algebraic groups M. P. Holland, \(K\)-theory of endomorphism rings and of rings of invariants , J. Algebra 191 (1997), no. 2, 668-685. | 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 projective spaces; index of speciality; complete intersection Gennaro, V; Franco, D, A speciality for curves in \({\mathbb{P}}^5\), Geom. Dedicata, 129, 89-99, (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) elliptic curves over finite fields; discrete elliptic logarithm function; public key cryptosystems; twisted pair 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) global homological dimension; coordinate ring; ring of differential operators Beĭlinson, A.A.: How to glue perverse sheaves. In: \(K\)-Theory, Arithmetic and Geometry (Moscow, 1984-1986), vol.~1289 of Lecture Notes in Math., pp. 42-51. Springer, Berlin (1987) | 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 module of \(n\)-th order differential operators; projective dimension DOI: 10.1080/00927879908826727 | 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; projective varieties; algebraic curves; algebraic surfaces; determinantal varieties; Cremona transformations; del Pezzo surfaces; theta characteristics; Grassmannians; line complexes Dolgachev, I. V.: \textit{Classical algebraic geometry. A modern view. }Cambridge University Press, Cambridge, 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) branched cover; moduli space of curves; effective slope; quadratic differential; Lyapunov exponent Chen, D, Covers of the projective line and the moduli space of quadratic differentials, Geom Dedicata, 163, 105-125, (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) Castelnuovo inequality; minimal algebraic surface of general type; Veronese surface; rational normal scroll; canonical model; deformations; number of moduli; pencil of nonhyperelliptic curves Ashikaga, T.; Konno, K., Algebraic surfaces of general type with \(c_1^2 = 3 p_g - 7\), Tohoku Math. J., 42, 517-536, (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) Hilbert's basis theorem; primary decomposition; structure theorem for finitely generated modules; dimension theory; field theory; going-down; affine algebras; Hilbert's Nullstellensatz; Noether's normalization theorem; principal ideal theorem; systems of parameters; Hilbert's syzygy theorem Sharp R.Y., in ''Commutative Algebra, Math. Sciences Research Inst. Publ. No. 15.'' pp 443-- (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) asymptotic commutative algebra; linear coordinate transformations; Stillman's conjecture; twisted commutative algebras; Zariski-topology | 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) \(K_1\)-groups of algebraic curves; arithmetic Hodge structure; generalized Jacobian 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) twenty seven lines of cubic surface; real cubics; elliptic and hyperbolic lines; projective space; orientable manifold; relative orientation; enumerative geometry; cohomology classes; vector bundles; sphere bundles; sections; Euler class; degree of map; multiplicity of zero; Welschinger invariant C. Okonek, A. Teleman, Intrinsic signs and lower bounds in real algebraic geometry. J. für die reine angew. Math (Crelles Journal) 2014(688), 219--241 (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) projective curves of genus \(g\) with \(n\)-marked points; pro-\(l\) towers of fields of definition; moduli stack; Galois-Teichmüller modular groups; nonabelian analogs of the Tate conjecture Hiroaki Nakamura, Coupling of universal monodromy representations of Galois-Teichmüller modular groups, Math. Ann. 304 (1996), no. 1, 99 -- 119. | 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 polynomial; optimization; sum of squares; semidefinite programming; moment problem; Hankel matrix; flat extension; Matlab toolbox; real algebraic geometry; free positivity I. Klep and J. Povh, \textit{Constrained trace-optimization of polynomials in freely noncommuting variables}, J. Global Optim., 64 (2016), pp. 325--348. | 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) Discriminants; polar curves; to vanish; double root; triple root; differential coefficient; function of several variables; homogeneous coordinates; pole of a curve; order; double points; locus; peak; tangent | 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) dimer algebra; hyperbolic surface; non-Noetherian ring; noncommutative algebraic 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) automorphisms of polynomial algebras; affine spaces; homogeneous system of parameters; Gröbner bases Furter, J-P, Polynomial composition rigidity and plane polynomial automorphisms, J. Lond. Math. Soc., 91, 180-202, (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) Weierstraß \(\wp\)-function; Mordell's theorem; Hasse's theorem; \(L\)- function; Birch and Swinnerton-Dyer conjecture; \(j\)-invariant; rational points of elliptic curves; imaginary quadratic fields; Taniyama-Weil conjecture Henri Cohen, Elliptic curves, From number theory to physics (Les Houches, 1989) Springer, Berlin, 1992, pp. 212 -- 237. | 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) solvable fundamental group; Veronese surfaces; complement of branch curves; solvable groups; Veronese embedding Teicher M. The fundamental group of a \(\mathbb{C}\)\(\mathbb{P}\)2 complement of a branch curve as an extension of a solvable group by a symmetric group. Math Ann, 314: 19--38 (1999) | 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) Lie algebras of derivations; normal affine varieties; infinite dimensional graded Lie algebras; derivation module; local analytic algebras; analytic germs; isolated complete intersection singularities; homology; cohomology Siebert, T.: Lie-Algebren von Derivationen und affine algebraische Geometrie über Körpern der Charakteristik 0. Dissertation Berlin 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) Hopf algebras; Witt vectors; Dieudonné modules; local rings; cocommutative bialgebras; numbers of lifts; Honda systems DOI: 10.1016/S0022-4049(00)00163-8 | 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) Azumaya algebras; Brauer groups; Brauer-Manin obstructions; Hasse principle; quartic curves; curves of genus 1; Tate-Shafarevich group DOI: 10.1007/s00605-012-0387-8 | 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) noncommutative geometry; quantum toric varieties; semigroup algebras; Artin-Schelter; Cohen-Macaulay; Artin-Schelter Gorenstein Rigal, L.; Zadunaisky, P., Twisted semigroup algebras, \textit{Alg. Rep. Theory}, 5, 1155-1186, (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) algebra textbook; Universal algebra; multilinear algebra; Homological algebra; group theory; field theory; Algebras; Quadratic forms; Rings Cohn, P. M.: Algebra, vol. 3, (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) algebraic schemes; complex manifolds; sheaves; transcendental methods of algebraic geometry; projective geometry; invariant theory; GAGA-type theorems; sheaf cohomology Neeman, A.: Algebraic and Analytic Geometry. Cambridge University Press, Cambridge (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) stable vector bundles on projective curves; extension of stable bundles; slope of a vector bundle DOI: 10.1002/mana.19981940102 | 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) analytic space germ; differential operators; complex analytic curves; geometry of webs; linearizability Hénaut, A., Sur la linéarisation des tissus de \(\mathbb{C}^2\), Topology, 32, 3, 531-542, (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) algebraic completely integrable systems; Poisson geometry; integrable Hamiltonian systems; symmetric product of curves; Hénon-Heiles hierarchy Vanhaecke, P., Integrable Systems and Symmetric Products of Curves, Math. Z., 1998, vol. 227, no. 1, pp. 93--127. | 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 for computing Hilbert functions of graded algebras; Gröbner basis; Taylor resolution Mora, F.; Möller, H. M., The computation of the Hilbert function, (Computer Algebra, London, 1983, Lect. Notes Comput. Sci., vol. 162, (1983), Springer Berlin), 157-167 | 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) Hartshorne conjecture; local cohomological dimension; cohomology of complement of subscheme of 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) linear Diophantine equations; quadratic Diophantine equations; multiplicative Diophantine equations; rational points; curves of genus \(0, 1, (>1)\); Runge theorem; Thue-Siegel theorems; p-adic method; representability of integers by binary quadratic forms Th. Skolem, Diophantische Gleichungen, Chelsea, 1950. | 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 of curves; tautological rings Tavakol, M., The tautological ring of \(M_{1, n}^{c t}\), Ann. Inst. Fourier, 61, 7, 2751-2779, (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) algebraic families of curves; Faltings' theorem; Mordell conjecture; projective variety; Szpiro constants; elliptic curve De Diego, Teresa: Théorème de faltings (conjecture de Mordell) pour LES familles algébriques de courbes, C. R. Acad. sci. Paris sér. I math. 323, No. 2, 175-178 (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) algebroid curves; Puiseux pairs; differential module of a curve; one-dimensional local rings; local ring of singular point of a curve; torsion submodule; Fitting ideal Carbonne, P.: Sur LES différentielles de torsion, J. algebra 202, 367-403 (1998) | 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; rigid isotopy classification of curves of degree 6; nondegenerate double point; ovals I. V. Itenberg, Rigid isotopy classification of curves of degree 6 with one nondegenerate double point [ MR1157144 (93c:14043)], Topology of manifolds and varieties, Adv. Soviet Math., vol. 18, Amer. Math. Soc., Providence, RI, 1994, pp. 193 -- 208. | 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) Steenrod algebras; cohomology of groups; characteristic classes; algorithms; computation; Chow rings; cohomology rings; Stiefel-Whitney classes; Steenrod operations | 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; 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) Veronese variety; finite geometry; combinatorial invariants; classification of orbits; pencils of conics | 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) Prym varieties; algebraic curves; moduli space; birational geometry; Kodaira dimension; syzygies; Koszul cohomology; spin curves Farkas, G., Contributions to Algebraic Geometry, Prym varieties and their moduli, 215-255, (2012), EMS: EMS, Zürich | 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 webs; abelian relations; Castelnuovo number \({\pi}(n, k)\); exceptional webs; projective plane [7] Pereira (J. V.), Pirio (L.).-- Classification of exceptional CDQL webs on compact complex surfaces. IMRN, 12p. 2169-2282 (2010). &MR~26 | &Zbl~1208. | 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) subregular classes; Dynkin curves; orbital varieties; simple algebraic groups; Borel subgroups; adjoint actions; Springer fibers; Lie algebras; irreducible components; numbers of orbits Goodwin, SM; Hille, L; Röhrle, G, The orbit structure of Dynkin curves, Math. Z., 257, 439-451, (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) reconstruction theorem; abelian category; noncommutative algebraic geometry; quasi-coherent sheaves; automorphism class group; quasi-separated scheme; the spectrum of $\mathcal A$; equivalence of groupoids; automorphism class group; derived category of coherent sheaves; tensor triangulated category of perfect complexes; Tannaka duality | 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) partially ordered sets; finite representation type; irreducible affine varieties; bipartitioned matrices; group actions; degenerations of orbits; prinjective modules; incidence algebras; Tits quadratic forms Kosakowska, J.: Degenerations in a class of matrix varieties and prinjective modules. J. Algebra 263, 262--277 (2003) | 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) \(p\)-division representations; elliptic curves; complex multiplication; integers of an imaginary quadratic field; rational primes Boston, N.; Ullom, S. V.: Representations related to CM elliptic curves. Math. proc. Cambridge philos. Soc. 113, 71-85 (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) graded rings of Siegel modular forms; theta constants; coding theory; Specht modules; Igusa desingularization; Humbert surfaces; hyperelliptic points Runge B.: Level-Two-Structures and Hyperelliptic Curves. Osaka J. Math. 34, 21--51 (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) real closed fields; real algebraic geometry; Nash functions; orders on rings or field; semi-algebraic sets; real algebraic varieties; Nash varieties; theorem of Nash and Tognoli; Witt rings Bochnak, J.; Coste, M.; Roy, M.-F., Géométrie algébrique Réelle, (1987), Springer-Verlag Berlin | 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; Pfister neighbors; projective quadrics; Chow groups; algebraic cycles; motives of quadrics N.\ A. Karpenko, Characterization of minimal Pfister neighbors via Rost projectors, J. Pure Appl. Algebra 160 (2001), no. 2-3, 195-227. | 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) lattices and their invariants; associated tori; elliptic functions; modular forms of one variable; periodic meromorphic functions; field of elliptic functions; Weierstrass \(\wp\)-function; elliptic curves; product representations; complex multiplication; Jacobi's theta series; Jacobi forms; modular functions; Siegel modular group; discontinuous subgroups; weight formula; Dedekind's eta-function; cusp forms; algebra of Hecke operators; Petersson inner product; Eisenstein series; Dirichlet series; functional equation; Hecke operators; harmonic polynomials; quadratic forms; Epstein zeta-function; Kronecker's limit formula; Rankin convolution M. Koecher and A. Krieg, \textit{Elliptische Funktionen und Modulformen}, Springer, Berlin, Heidelberg, 1998. | 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) fusion rules; rational conformal quantum field theory; conformal blocks; compact Riemann surface; Verlinde formula; dimension formula; generalized theta functions; moduli spaces of semi-stable vector bundles; representations of affine Lie algebras Sorger, C., La formule de Verlinde, Séminaire Bourbaki, vol. 1994/1995, Astérisque, 237, 87-114, (1996), [Exp. No. 794, 3] | 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; involution of orthogonal type; \(\sigma\)- symmetric elements; reduced norm; similitudes; quaternion algebras; discriminant extensions; Clifford algebras; algebras with involution; Clifford bimodules; Clifford groups; homogeneous varieties; semisimple linear algebraic groups; Brauer groups Merkurjev, A.; Tignol, J., The multipliers of similitudes and the Brauer group of homogeneous varieties, Journal für die Reine und Angewandte Mathematik, 461, 13-47, (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) noncommutative algebraic geometry; noncommutative blow up; strongly Noetherian Keeler, D. S.; Rogalski, D.; Stafford, J. T., Naïve noncommutative blowing up, Duke Math. J., 126, 3, 491-546, (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) quantum cohomology rings; homogeneous varieties; enumerative geometry Kollár, J.: Rational curves on algebraic varieties. Ergebnisse der Mathematik und ihrer Grenzgebiete 3. 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) flat limit of \({\mathcal P}\)-ring; excellent ring; noetherian local ring; Gorenstein; complete intersection; Nagata rings Doretti, L.: A note on the flat inductive limit of P-rings, Boll. unione mat. Ital., D 2, No. 6, 29-39 (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) Poincaré polynomials; complex algebraic varieties; complex de Rham cohomology; Euler characteristic; Grothendieck rings; regular semisimple elements; complex connected reductive algebraic groups; Lie algebras; maximal tori; toral algebras; \(\ell\)-adic cohomology; numbers of rational points G. I. Lehrer, The cohomology of the regular semisimple variety, J. Algebra 199(2) (1998), 666\Ndash689. \small\texttt DOI: 10.1006/jabr.1997.7195. | 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; representation of integers; generalized Weil hypothesis; elliptic curves with complex multiplication; method of ascent; modular forms; functional equations B. T. Tashpulatov and L. A. Kogan, Representation of Integers by Quadratic Forms [in Russian], Fan, Tashkent (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) graded algebras; quivers; crossed products; algebras of invariants Mori, Izuru, McKay-type correspondence for AS-regular algebras, J. Lond. Math. Soc. (2), 88, 1, 97-117, (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) curves in projective spaces; lines; Hilbert function; union of lines | 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; Brill-Noether theory; Kodaira dimension; \(k\)-gonal curves Ballico, E.; Fontanari, C.: Brill--Noether divisors on the moduli space of curves and applications, J. korean math. Soc. 42, No. 6, 1279-1285 (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) existence of Kähler-Einstein metrics; homogeneous quadratic polynomials; zero locus; orbifolds; singularities; Futaki invariant Jeffres, T.: Singular set of some kähler orbifolds. Trans. Am. Math. Soc. 349, 1961--1971 (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) simple Lie algebras; Lie algebras of algebraic; symplectic and Hamiltonian vector fields; smooth affine curves; Danielewski surfaces; locally nilpotent derivations | 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 codes; survey; class field towers; Galois rings; binary nonlinear codes; distribution of symbols | 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 spaces of curves; algebraic curves over global fields; discriminantal varieties; cohomology rings; Hodge structures Bergstrom, J.; Tommasi, O., The rational cohomology of M\_{}\{4\}, Math. Ann., 338, 207, (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) moduli stack of curves; twisted curves; spin structures Chiodo, Alessandro, Stable twisted curves and their \(r\)-spin structures, Ann. Inst. Fourier (Grenoble), 58, 5, 1635-1689, (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) cocommutative Hopf algebras; finitely generated projective modules; exact sequences; \(H\)-Galois algebras; Harrison cohomology groups; dual Hopf algebras; Sweedler cohomology groups; invertible comodules with geometric normal bases; dual pairs of invertible comodules Caenepeel, S.: A variation of sweedler's complex and the group of Galois objects of an infinite Hopf algebra. Comm. algebra 24, 2991-3015 (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) essential dimension; essential \(p\)-dimension; central simple algebras; Brauer groups; cyclic algebras; algebraic tori; principal homogeneous spaces; torsors J. Milne, \textit{Étale Cohomology}, Princeton University Press, Princeton, N.J., 1980. Russian transl.: Дж. Милн, \textit{Эмальныe когомологии}, Миp, M., 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) Poisson Noether's problem; Poisson rationality; Calogero-Moser spaces; Cherednik algebras; Gelfand-Kirillov 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) Moduli space of curves; Cox rings Bourqui, D, Moduli spaces of curves and Cox rings, Michigan Math. J., 61, 593-613, (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) higher-dimensional algebraic varieties; birational geometry; birational classification theory; minimal model program; Mori theory; cohomological vanishing theorems; cohomological nonvanishing theorems; Cartier divisors; morphisms from curves; varieties with many rational curves; rational quotient of a variety; cone theorem; contraction theorem; extremal rays Debarre O., Higher-dimensional algebraic geometry, Universitext, Springer-Verlag, New York 2001. | 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) survey articles (algebraic geometry); stacks; Artin stacks; moduli of vector bundles; curves over arithmetic ground fields; cohomology of algebraic stacks; Weil conjectures F. Neumann, Algebraic stacks and moduli of vector bundles, Publicações Matemáticas do IMPA , Colóquio Brasileiro de Matemática, 27, 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) coefficients of Hilbert-Kunz function; Hilbert-Kunz density function; \(\beta\)-density function; projective toric variety; height one monomial prime ideal; convex 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) Mori contraction; degenerations of projective spaces; minimal model program; projective bundle; length of extremal rays; rational curves [19] Andreas Höring &aCarla Novelli, &Mori contractions of maximal length&#xPubl. Res. Inst. Math. Sci.49 (2013) no. 1, p.~215Article | &MR~30 | &Zbl~1262. | 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 transformations of regular local rings; valuation ring; proximity relation; proximity sequence; curve singularities Aparicio, J.; Granja, A.; Sánchez-Giralda, T.: On proximity relations for valuations dominating a two-dimensional local regular ring. Rev. mat. Iberoamericana 15, No. 3, 621-634 (1999) | 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) rational Bézier curves; massic vector; BR-curves; projective changes of parameter; BR-approximations; folium of Descartes; trisectrix of MacLaurin Fiorot, J. C.; Jeannin, P.; Taleb, S.: New control massic polygon of a B-rational curve resulting from a homographic change of parameter. Numerical algorithms 6, 379-418 (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) rank-level duality; infinite dimensional Lie algebras; moduli of curves; KZ-connection Swarnava Mukhopadhyay, Rank-Level Duality of Conformal Blocks, ProQuest LLC, Ann Arbor, MI, 2013. Thesis (Ph.D.) -- The University of North Carolina at Chapel Hill. | 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) Grothendieck polynomials; projective degree of Schubert cycles; flag manifolds; symmetrizing operators; Ehresmanoeder; Schubert polynomials; Pieri formula; enumerative geometry; Root systems; Coxeter groups; Young tableaux; cohomology ring; Grothendieck ring Lascoux, Alain and Schützenberger, Marcel-Paul, Symmetry and flag manifolds, Invariant Theory ({M}ontecatini, 1982), Lecture Notes in Math., 996, 118-144, (1983), Springer, Berlin | 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; moduli spaces of curves; matroid; Chow 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) survey article (algebraic geometry); algebraic curves; Brill-Noether theory; moduli spaces of curves; Hilbert schemes; special divisors; linear systems | 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; matrix algebras | 0 |
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