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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) explicit class field theory; real quadratic fields; quaternion algebras; Shimura 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) Geometry of elliptic 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) rings of differential operators; smooth curves; lattices of right ideals; lattices of primary decomposable subspaces; finite intersections of subspaces; maximal ideals | 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; F-conjecture; Mori cone Gibney, Angela, Numerical criteria for divisors on \(\overline{M}_g\) to be ample, Compos. Math., 145, 5, 1227-1248, (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) supersymmetric algebra; bracket algebra; algebras of invariants; exterior algebra; projective space Huang, R. Q.; Rota, G. -C; Stein, J. A.: Supersymmetric algebra, supersymmetric space, and invariant theory. Annali scuola normale superiore Pisa, 407-432 (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) genus of projective curves; flag conditions; integral curves; maximal arithmetic genus of curves; JFM 21.0669.01; JFM 14.0669.03 Chiantini L., Ciliberto C. and Di Gennaro V. (1996). On the genus of projective curves verifying certain flag conditions. Boll. U.M.I. (7)(10-B): 701--732 | 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; topology of moduli spaces; cohomology rings; Hodge structures; discriminantal varieties; Borel-Moore cohomology' rational cohomology; moduli of curves; discriminants Tommasi O. (2005). Rational cohomology of the moduli space of genus 4 curves. Compos. Math. 141(2): 359--384 | 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) Hurwitz scheme; dimension of complete subvariety of the coarse moduli space of curves; genus Diaz, S, A bound on the dimensions of complete subvarieties of \(M_g\), Duke Math. J., 51, 405-408, (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) multiplier ideals; projective dimension; regular rings; rational singularities | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) isotrivial family of curves; logarithmic Kodaira dimension Zaidenberg, MG, Additions and corrections to the paper: ``isotrivial families of curves on affine surfaces, and the characterization of the affine plane'', Math. USSR Izv., 38, 435-437, (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) vector bundles on complex projective spaces; homogeneous bundle; monad; theory of moduli; coherent sheaves; splitting of bundles; stable bundles; fine moduli spaces; duality; Chern class; survey; bibliography Okonek, Christian; Schneider, Michael; Spindler, Heinz, Vector bundles on complex projective spaces, Modern Birkhäuser Classics, (2011), Birkhäuser/Springer Basel AG Basel, Corrected reprint of the 1988 edition, With an appendix by S.I. Gelfand. MR 2815674 (2012d:14073) | 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-Rao module; space curve; deficiency module; first cohomology of the ideal sheaf; number of minimal generators; two-codimensional subschemes of projective space; 1-Buchsbaum curves Migliore, J.: Submodules of the deficiency module. J. London math. Soc. (2) 48, 396-414 (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) group generated by pseudo-reflections; ideal of generalized invariants; homogeneous elements; Chevalley-Shepard-Todd theorem; cohomology; twisted derivations; Kac-Moody groups; Lie algebra cohomology Victor G. Kac and Dale H. Peterson, Generalized invariants of groups generated by reflections, Geometry today (Rome, 1984) Progr. Math., vol. 60, Birkhäuser Boston, Boston, MA, 1985, pp. 231 -- 249. | 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) Xiao's conjecture; algebraic surface; birational geometry; canonical fibration; family 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) complex affine curve; ring of differential operators; ad-nilpotent elements; ring of regular functions; injective birational map; invariants of simple rings; non-isomorphic curves with isomorphic rings of differential operators; codimension DOI: 10.1112/jlms/s2-45.1.17 | 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) division algebras; reduced norms; function field of \(p\)-adic curves; Galois cohomology | 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) KLPT algorithm; Deuring correspondence; supersingular elliptic curves; endomorphism rings; quaternion algebras | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) real rational symplectic four-folds; real rational pseudo-holomorphic curves; enumerative geometry; moduli spaces of rational curves --------, Invariants of real symplectic \(4\)-manifolds and lower bounds in real enumerative geometry, Invent. Math. 162 (2005), 195--234. | 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) union of lines; contractible plane curves; log-Kodaira dimension Calabri, Alberto; Ciliberto, Ciro, On the Cremona contractibility of unions of lines in the plane, Kyoto J. Math., 57, 1, 55-78, (2017) | 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) deformation theory; differential graded Lie algebras; cohomology jump loci; local systems; vector bundles; Higgs bundles; representations of fundamental groups Budur, N. and Wang, B., ' Cohomology jump loci of differential graded Lie algebras', \textit{Compos. Math.}151 ( 2015) 1499- 1528. MR3383165. | 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 marked curves; global deformations of Lie algebras; Pursell-Shanks theory; Lie algebra cohomology | 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) pencil of plane curves; quadratic transformations | 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 curves; stable algebraic curves; quantum cohomology of a complex projective algebraic manifold; cohomological field theory; variation of Hodge structures; mirror dual manifold; Gromov-Witten classes; operads for moduli spaces of stable curves M. Kontsevich and Y. Manin, Gromov-Witten classes, quantum cohomology, and enumerative geometry, Comm. Math. Phys. 164 (1994), no. 3, 525-562. | 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) torus actions; dimensions of tori; faithful actions; algebras of generic matrices; trace rings; \(X\)-inner actions; rational torus actions Reichstein, Z., Vonessen, N.: Torus actions on rings. J. Algebra 170, 781--804 (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) Feynman integral; Feynman diagram; Tate motive; perturbative quantum field theory; period; oscillatory integral; Gelfand-Leray form; Connes-Kreimer theory; Radon transform; Hodge structure; noncommutative geometry; Galois group; supermanifold; Kirchhoff-Symaznik polynomial; dimensional regularization; BPHZ renormalization; Tannakian category; Grothendieck ring; monodromy; weight fibration; vanishing cycles; topological simplex; singularities; mixed Tate; tubular neighborhood; Kummer motive; Milnor fiber; motivic sheaves; normal crossings; Picard-Fuchs equation; Riemann-Hilbert correspondence; Hopf algebra; Igusa L-function Marcolli, M.: Feynman Motives. World Scientific, Singapore (2010) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Diophantine approximation; rational points on algebraic varieties; arithmetic algebraic geometry; Roth's theorem; nonvanishing lemma for polynomials in several variables; Roth's lemma; Dyson's lemma; Mordell conjecture; Faltings' theorem; finiteness of rational points; algebraic curve of genus greater than one; Vojta's generalization of Dyson's lemma; products of curves of arbitrary genus; Lang conjecture; Subspace Theorem; lower bound for the rational approximation to a hyperplane | 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) compactification of projective 3-space; singular K-3 surfaces; hypersurface isolated singularity; ruled surface; exceptional curves; Fano 3-fold . M. Furushima , Singular K3 surfaces with hypersurface singularities , Pacific J. Math. 125 (1986) 67-77. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) pseudo-reflection groups; essential dimension; rational maps; algebras of invariants Alexander Duncan and Zinovy Reichstein, Pseudo-reflection groups and essential dimension, 2014-02-28. Preprint, arXiv:1307.5724v2. | 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) complex reflection groups; Coxeter groups; rational Cherednik algebras; Dunkl operators; Hecke algebras; rings of differential operators; Weyl algebras; root systems; rings of quasi-invariants; spherical algebras Berest, Y.; Chalykh, O., \textit{quasi-invariants of complex reflection groups}, Composito Math., 147, 965-1002, (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) curves of low genus; quadratic sequences; Mohanty's conjecture; function field arithmetic | 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; Virasoro algebra; conformal field theory; moduli space of curves; chiral algebras Frenkel, I. B.: Vertex algebras and algebraic curves. Séminaire bourbaki, vol. 1999/2000, astérisque 276, 299-339 (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) complex finite-dimensional Lie algebra; generic point; variety of structure constants; algebraic affine variety; irreducible components; nilpotent Lie algebras; \({bbfZ}_ 2\)-Eilenberg-MacLane spectrum; bo- essential complex; Brown-Gitler spectrum; bounded torsion theorem; geometric dimension of vector bundles; \(E_ 2\)-term Kirillov, A.A.; Neretin, Y.A.; The Variety An of n-Dimensional Lie Algebra Structures; Am. Math. Soc. Transl.: 1987; Volume 137 ,21-30. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) smooth projective curves; moduli space of vector bundles | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) cohomology group; cuspidal representation; dimension formula; automorphic forms; elliptic curves; good reduction; Lefschetz fixed point theorem; imaginary quadratic fields Krämer, N.: Beiträge zur arithmetik imaginärquadratischer zahlkörper. Bonner math. Schriften 161 (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) moduli spaces of stable maps; rational curves; real enumerative geometry Puignau, N.: Sur la première classe de Stiefel-Whitney de l'espace des applications stables réelles vers l'espace projectif. Ann. inst. Fourier (Grenoble) 60, No. 1, 149-168 (2010) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) graded bundles over tori; graded bundles over complex projective; spaces; moduli spaces of graded bundles | 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 difference equations; twisted differential operators; twisted affinoid algebras; deformation; confluence; radius of convergence | 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; one point marked smooth projective curves of genus; Galois-Teichmüller modular group Hiroaki Nakamura, Galois representations in the profinite Teichmüller modular groups, Geometric Galois actions, 1, London Math. Soc. Lecture Note Ser., vol. 242, Cambridge Univ. Press, Cambridge, 1997, pp. 159 -- 173. | 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) quasi-coefficient field; power series rings; ring of linear differential operators; global homological dimension; Bernstein-Sato polynomial Narváez-Macarro, L.: A note on the behaviour under ground field ex- tension of quasi-coefficient fields, J. London Math. Soc. 43 (1991), 12-22. | 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) postulation; curves of maximal rank in projective 3-space; hyperplane bundle; linearly normal elliptic curve E. Ballico -Ph. Ellia,Sur la postulation des courbes de P 3 et de leur projections, C. R. Acad. Sc. Paris,299 (1984), pp. 237--240. | 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) trigonal Gorenstein curves; singular curves; non-classical curves; Maroni invariant; dimension of the moduli space --------, Trigonal Gorenstein curves with zero Maroni invariant , An. Acad. Brasil. Ciênc. 71 (1999), 345-349. | 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 matrix inequalities; convex sets of matrices; noncommutative semialgebraic geometry H. Dym, W. Helton, and S. McCullough, ''Irreducible noncommutative defining polynomials for convex sets have degree four or less,'' Indiana Univ. Math. J., vol. 56, iss. 3, pp. 1189-1231, 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) noncommutative algebraic varieties; stacks; quadratic algebras; filtrations Kontsevich, M., \textit{deformation quantization of algebraic varieties}, Lett. Math. Phys., 56, 271-294, (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) homotopy groups of pullbacks of varieties; Lefschetz theorems; ampleness; rational homogeneous projective manifolds; fundamental group A. J. Sommese, A. Van de Ven, Homotopy groups of pullbacks of varieties. \textit{Nagoya Math. J}. \textbf{102} (1986), 79-90. MR846130 Zbl 0564.14010 | 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) modular \(j\)-invariant; homotopy Lie theory; period integrals of elliptic curves; differential graded Lie algebra | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) polynomial ring in two variables; nontrivial embedding of affine; line into affine plane; logarithmic Kodaira dimension; characteristic p; coordinate line Richard Ganong, Kodaira dimension of embeddings of the line in the plane, J. Math. Kyoto Univ. 25 (1985), no. 4, 649 -- 657. | 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) crossed products; Hochschild cohomology; cyclic cohomology; deformations of associative rings and algebras; Koszul complexes; chiral numbers; Calabi-Yau threefolds; Hodge numbers; singularities; orbifolds; universal deformation formulas Andrei Căldăraru, Anthony Giaquinto, and Sarah Witherspoon, Algebraic deformations arising from orbifolds with discrete torsion, J. Pure Appl. Algebra 187 (2004), no. 1-3, 51 -- 70. | 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) sheaves of conformal blocks; Galois coverings of curves; parahoric Bruhat-Tits groups; affine Lie algebras | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Semi-stable and stable vector bundles on regular projective curves; moduli space of stable bundles; local non-abelian zeta functions for curves defined over finite fields (rationality and functional equations); global non-abelian zeta functions for curves defined over number fields; non-abelian L--functions for function fields (rationality and functional equations) Weng, L.: Non-abelian L function for number 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) construction of the Moduli space of vector bundles over projective curves; parabolic bundles; Higgs bundles C. S. Seshadri, Vector bundles on curves. In: \textit{Linear algebraic groups and their representations} (\textit{Los Angeles, CA}, 1992), volume 153 of \textit{Contemp. Math}., 163-200, Amer. Math. Soc. 1993. MR1247504 Zbl 0799.14013 | 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) Syzygies; secant varieties; projective curves; graded Betti numbers DOI: 10.2140/ant.2009.3.445 | 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-Macaulayness of the coordinate ring; monomial curves Molinelli, S.; Patil, D. P.; Tamone, G.: On the Cohen--Macaulayness of the coordinate ring of certain projective monomial curves. Beiträge zur algebra und geometrie 40, 437-458 (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) theory of algebras; theory of ideals; number theory; 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) dimension of formal fibers; formal fibers of local rings; Noether's normalization lemma | 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 curves; tropical enumerative geometry; Gromov-Witten invariants; tropical descendant invariants; moduli spaces of tropical curve | 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) Seminar; algebraic geometry; pencil of curves L. Szpiro , Séminaire sur les pinceaux de courbes de genre au moins deux . Astérisque 86 (1981). | 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) sums of squares; positivity; quadratic modules; semiorderings; real algebraic geometry C. Scheiderer, \textit{Distinguished representations of non-negative polynomials,} J. Algebra, 289 (2005), pp. 558--573. | 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) sequences of linear spaces; dimension theory; fourth-dimensional spaces; section constructs of projective linear sequences | 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) formal groups; quantum groups; categories of noncommutative formal power series algebras; cogroup objects; topological Hopf algebras; quantum group law chunks Holtkamp, R.: On formal quantum group laws. Arch. math. 73, 90-103 (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) edge ideals; curve arrangements; sequentially Cohen-Macaulay rings; Buchsbaum rings; projective dimension; regularity; square free modules | 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) flatness of Hodge bundles over curves; fibrations; connected fibres; \(C_{n,m}\)-conjecture; Kodaira dimensions; variations of Hodge structure; Torelli property; Kähler geometry; \(C_{n,1}\)-conjecture C. A. M. Peters, ''A criterion for flatness of Hodge bundles over curves and geometric applications,'' Math. Ann., vol. 268, iss. 1, pp. 1-19, 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) algebraic groups; category of rational modules; projective modules; affine group schemes; cocommutative Hopf algebras; category of modules; dual Hopf algebras; category of locally finite modules; enveloping algebras; group algebras Donkin, S, On projective modules for algebraic groups, J. Lond. Math. Soc. (2), 54, 75-88, (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) moduli of stable marked rational curves; enumerative geometry; Gromov-Witten invariants; quantum cohomology; stable maps Joachim Kock and Israel Vainsencher, A fórmula de Kontsevich para curvas racionais planas, 22^{\?} Colóquio Brasileiro de Matemática. [22nd Brazilian Mathematics Colloquium], Instituto de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, 1999 (Portuguese). | 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) complex conformal geometry; isotropic curves; complex symplectic group; projective structures on Riemann surfaces; meromorphic differentials on Riemann surfaces; minimal surfaces; CMC surfaces; flat fronts; \(W\)-curves; Goursat transformation | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) affine Gelfand-Dickey bracket; space of \(n\)-th order differential operators; elliptic curve; Poisson structure; symplectic leaves; double loop algebras; loop groups; holomorphic vector bundles [EK] Etingof, P.I., Khesin, B.A.: Affine GElfand-Dickey brackets and holomorphic vector bundles. Geom. Funct. Anal.4, 399--423 (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) one place at infinity; normal forms of smooth plane curves; genus; Tchirnhausen resolution tower; dimension of moduli spaces | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) irreducible complex algebraic curve; normalization map; rings of differential operators; monomial curves Letzter, G.; Makar-Limanov, L.: Rings of differential operators over rational affine curves. Bull. soc. Math. France 118, 193-209 (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) projective embedding; injective semilinear transformation; Grassmannian geometry; space of spinors Albert L.jun. Wells, ``Universal projective embeddings of the Grassmannian, half spinor, and dual orthogonal geometries'', Q. J. Math., Oxf.34 (1983), p. 375-386 | 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 functions; defining ideal of point set in projective space; polynomial ring; number of generators of homogeneous perfect ideals; maximum number of generators | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) \(a\)-numbers; Artin-Schreier covers; arithmetic geometry; covers of curves; invariants 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) central division algebras; anisotropic orthogonal involutions; Springer-Satz for orthogonal involutions; quadratic forms; motives of quadrics; function fields; Brauer-Severi varieties; Witt index; Chow motives А. С. Меркурьев, А. А. Суслин, \textit{K-когомологии многообpaзий Севери-Брауэра и гомоморфизм норменного вычета}, Изв. АН СССР, cep. мат \textbf{46} (1982), no. 5, 1011-1046. Engl. transl.: A. Merkurjev, A. Suslin, \textit{K-cohomology of Severi\(-\)Brauer varieties and the norm residue homomorphism}, Math. of the USSR-Izvestiya \textbf{21} (1983), 2, 307-340. | 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) minimal rational curves; analytic continuation; variety of minimal rational tangents; rational homogeneous manifold Hong, J; Mok, N, Analytic continuation of holomorphic maps respecting varieties of minimal rational tangents and applications to rational homogenous manifolds, J Diff Geom, 86, 539-567, (2010) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) rings of differential operators; chiral differential operators; twisted differential operators; vertex algebra; representations Arakawa, T., Chebotarov, D., Malikov, F.: Algebras of twisted chiral differential operators and affine localization of \({\mathfrak{g}}\)-modules. Sel. Math. (N.S.), \textbf{17}(1), 1-46 (2011). arXiv:0810.4964 | 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) smoothing of projective schemes; ribbons; smoothing of ribbons; unreduced curves González, M., Smoothing of ribbons over curves, J. Reine Angew. Math., 591, 201-235, (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) noncommutative algebraic geometry; noncommutative curves; Witts theorem Nyman, A.: Wittïs theorem for noncommutative conics. Appl. categ. Structures (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) graded algebras; central simple algebras; Schilling valuations; algebra of central quotients; valued division algebras; tame algebras; associated graded algebra; graded Brauer groups; valued algebras; decompositions M'hammed Boulagouaz, Le gradué d'une algèbre à division valuée, Comm. Algebra 23 (1995), no. 11, 4275 -- 4300 (French). | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) equivariant homology; homology of Lie algebras; non-commutative differential geometry; MacLane homology; Hopf algebras; Chern characters; algebraic \(K\)-theory; cyclic homology; Hochschild homology; MacLane cohomology J.-L. Loday, \textit{Cyclic homology}, Springer, U.S.A. (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) intersection; curves on abelian branched covering of smooth complex projective surface; Betti numbers; desingularizations Hironaka, E.: Intersection theory on branched covering surfaces and polynomial periodicity. Internat. math. Res. notices 6, 185-196 (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) Chow quotient; Hilbert quotient; moduli of curves; phylogenetic trees; geometric invariant theory; toric geometry; tropical geometry Gibney, A., Maclagan, D.: Equations for Chow and Hilbert quotients. Algebra Number Theory. \textbf{7}, 855-885 (2010). arXiv:0707.1801 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) theta-characteristics; family of smooth projective curves; characteristic two | 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 of linear algebraic groups; Galois cohomology; Picard group; Brauer group; birational properties of algebraic tori; projective toric varieties; invariants of finite transformation groups Voskresenskiĭ, Galois lattices and algebraic groups, J. Math. Sci. New York 106 (4) pp 3098-- (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) Betti numbers of the Hilbert scheme compactification of the space; of twisted cubic curves; Betti numbers of the Hilbert scheme compactification of the space of twisted cubic curves Schaub, D.: Sur l'homologie du schéma de Hilbert des cubiques de ? ? 3 de genre arithmetique nul. C.R. Acad. Sci., Paris, t.301, (série I) 307-310 (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) moduli of curves; tautological rings; cohomological field theories R. Pandharipande, A. Pixton, and D. Zvonkine, Relations of \(\overline{M}_{g,n}\) via \(3\)-spin structures, J. Amer. Math. Soc. 28 (2015), 279--309. | 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 over schemes; projective quadrics; Witt ring; Witt class; dimension index; bilinear bundles M. Szyjewski , An invariant of quadratic forms over schemes . Doc. Math. 1 ( 1996 ), No. 19 , 449 - 478 (electronic). MR 1425300 | Zbl 0876.11019 | 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; Hecke algebras; noncommutative deformations | 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) Teichmüller modular function fields; pro-\(l\) number field towers; moduli stack of smooth projective curves; stability; braid groups Nakamura, H.; Takao, N.; Ueno, R., Some stability properties of Teichmüller modular function fields with pro-\textit{} weight structures, Math. ann., 302, 197-213, (1995), MR 96h:14041 | 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; toric geometry; lattice polygons; families of curves; surfaces Lubbes, N., Schicho, J.: Lattice polygons and families of curves on rational surfaces. J. Algebr. Comb. 34(2), 213--236 (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) Kodaira dimension of the moduli space of curves of genus 15 Mei-Chu Chang and Ziv Ran. The {K}odaira dimension of the moduli space of curves of genus {\(15\)}. {J. Differential Geom.}, 24(2):205--220, 1986. DOI 10.4310/jdg/1214440435; zbl 0649.14015; MR0862048 | 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) division algebra; value group; center; Brauer group; tensor products of symbol algebras; Dubrovin valuation rings; armatures; central simple algebras Adrian R. Wadsworth, Valuations on tensor products of symbol algebras, Azumaya algebras, actions, and modules (Bloomington, IN, 1990) Contemp. Math., vol. 124, Amer. Math. Soc., Providence, RI, 1992, pp. 275 -- 289. | 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) exceptional polynomials; inverse Galois problem; Carlitz's conjecture; general exceptional covers; nonsingular projective algebraic curves; Schur covers; monodromy pair; modular curves over finite fields; fiber products; curves of high genus M. D. Fried, \textit{Global construction of general exceptional covers}, in Finite Fields: Theory, Applications, and Algorithms, Contemp. Math. 168, G. L. Mullen and P. J. Shiue, eds., AMS, Providence, RI, 1994, pp. 69--100. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) semisimple Lie algebras; dense set of values; Oppenheim conjecture; ergodic theory; prehomogeneous vector spaces; irrational quadratic form Yukie, A.: Prehomogeneous vector spaces and ergodic theory I. Duke Math. J. 90(1), 123--147 (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) algebraic geometry over groups; model theory; quasivarieties; irreducible components; definability; free groups; varieties of groups; orthogonal systems of domains; elementary theories; coordinate groups; finitely generated groups; universal equivalences A. Kvaschuk, A. Myasnikov, and V. Remeslennikov, ''Algebraic Geometry Over Groups, III: Elements of Model Theory,'' J. Algebra 288(1), 78--98 (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) vector bundles; reflexive sheaves; classification of coarse moduli spaces of stable rank-2 reflexive sheaves on projective 3-space; Chern classes; moduli variety of curves Chang, Mei-Chu, Stable rank \(2\) reflexive sheaves on \({\mathbf P}^{3}\) with small \(c_{2}\) and applications, Trans. Amer. Math. Soc., 284, 1, 57-89, (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) function fields; irreducible polynomials; hyperelliptic curves; derivatives of \(L\)-functions; moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; random matrix theory | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) derived algebraic geometry; quadratic forms; Clifford algebras; shifted symplectic structures Safronov, P.: Poisson reduction as a coisotropic intersection (2015). arXiv:1509.08081 | 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; \(K\)-theory of \(C^*\)-algebras; limiting modular symbols; noncommutative boundary; \(\mathbb{Q}\)-lattices; quantum statistical mechanics; Galois theory; arithmetic surface; Arakelov geometry; archimedean cohomology; Schottky uniformization Marcolli, Arithmetic noncommutative geometry (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) crystalline cohomology; representation theory; algebraic groups of Lie type; plane projective curves; Frobenius morphism; filtrations; Weyl modules Haastert, B.; Jantzen, J. C.: Filtrations of the discrete series of \(SL2(q)\) via crystalline cohomology. J. algebra 132, No. 1, 77-103 (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) cone structures; rational homogeneous space; varieties of minimal rational tangents; Cartan connections; parabolic geometry; filtered manifolds | 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) schemes; coherent sheaves; cohomology of schemes; duality theory; algebraic curves; birational geometry of surfaces; arithmetic algebraic curves; arithmetic algebraic surfaces; stable reduction of curves; arithmetic algebraic geometry; birational geometry of algebraic surfaces Qing Liu, Algebraic geometry and arithmetic curves, Oxford Graduate Texts in Mathematics 6, Oxford University Press, 2002, Translated from the French by Reinie Erné, Oxford Science Publications | 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) canonical class; 2-torsion; Brauer group; smooth projective curve; Clifford invariant; quadratic space; commutative rings Parimala, R.; Sridharan, R.: Nonsurjectivity of the Clifford invariant map. Proc. indian acad. Sci. math. Sci. 104, No. 1, 49-56 (1994) | 0 |
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