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semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) finite differential calculi; noncommutative differential geometry; derivations; Dirac operator; ordinary differential calculus of spacetime | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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 over the function field of a curve; Brauer group; elliptic curves V. I. Yanchevskiĭ and G. L. Margolin, Brauer groups of local hyperelliptic curves with good reduction, Algebra i Analiz 7 (1995), no. 6, 227 -- 249 (Russian, with Russian summary); English transl., St. Petersburg Math. J. 7 (1996), no. 6, 1033 -- 1048. V. I. Yanchevskiĭ and G. L. Margolin, Erratum: ''Brauer groups of local hyperelliptic curves with good reduction'', Algebra i Analiz 8 (1996), no. 1, 237 (Russian). | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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 neighborhood; jet bundle; differential graded algebras; formal geometry; Atiyah class; \(L_\infty\)-algebra Shilin Yu, The Dolbeault dga of the formal neighborhood of the diagonal, J. Noncommut. Geom. 9 (2015), no. 1, 161 -- 184. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) projective geometry; cubic curves; quartic curves; tangents | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Noetherian functions; non-Archimedean geometry; Pfaffian functions; rational points of bounded height; Wilkie's 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) rationality questions; rational points; Hasse-Weil \(L\)-function of modular elliptic curves; local-global principles; Selmer's curve; smooth projective varieties; Tate-Shafarevich group; Tate-Shafarevich conjecture; Selmer groups of elliptic curves; class field theory; Kolyvagin test classes Mazur B.: On the passage from local to global in number theory. Bull. Amer. Math. Soc. (N.S.) 29(1), 14--50 (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) homotopy Lie algebra; noetherian local ring; cohomology of local; rings; complete intersection Luchezar L. Avramov and Stephen Halperin, On the structure of the homotopy Lie algebra of a local ring, Algebraic homotopy and local algebra (Luminy, 1982) Astérisque, vol. 113, Soc. Math. France, Paris, 1984, pp. 153 -- 155. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) algebraic homogeneous space; characterization of projective n-space; quadric hypersurface; Grassmannian Paranjapé K.H., Inv. Math 98 pp 425-- (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) Maurer-Cartan equation; formal deformation; Hochschild cohomology; dg-algebras; dg-categories; differential graded Lie algebra; $\infty$-operad; augmented $\mathbb E_n$-algebras; formal moduli of a category; curved deformations; Maurer-Cartan solutions; compactly generated $k$-linear $\infty$-category; $\mathcal{C}\text{atDef}_{\mathcal C}$; 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) log canonical model; moduli space of stable curves; birational geometry Smyth, D., Modular compactifications of the space of pointed elliptic curves II, Compos. Math., 147, 1843-1884, (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) nonhomogeneous quadratic relations; conilpotent coalgebras; Koszul duality; t-structures of derived type; Massey products; quasi-formality; formality; noncommutative homotopy theory; Galois groups; 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) elongated hypocycloid; handkerchief singularity; Whitney umbrella; sphere inversion; real sextic surface; models of the real projective plane \(\mathbb RP^ 2\) in Euclidean 3-space; Steiner surface; Veronese surface; crosscap; Rheinhardt's heptahedron; immersions; explicit Boy surfaces Apéry, F., \textit{Models of the Real Projective Plane: Computer Graphics of Steiner and Boy Surfaces}, Braunschweig: Vieweg, 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) arithmetic statistics; non-hyperelliptic curves; rational points; Selmer groups; Jacobians; geometry of numbers; Mumford theta groups | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) fans; real spectra of noncommutative rings; real places; orderings; order compatible real places; integral domains; Bröcker's trivialization theorem; quantum planes Marshall, M., Zhang, Y.: Orderings, real places and valuations on noncommutative integral domains. J. Algebra 212, 190--207 (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) vector bundles; restriction theorems; Bridgeland stability conditions; projective surfaces; Brill-Noether theory; plane curves; Hirzebruch surfaces; cohomologies 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) degeneration of linear series on smooth curves; moduli space; Schubert calculus; Kodaira dimension; Weierstrass points D. Eisenbud, J. Harris, Limit linear series: basic theory. \textit{Invent. Math.}\textbf{85} (1986), 337-371. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Landau-Zener transitions; non-adiabatic coupling; differential geometry of plane curves | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) mod \(p\) Galois representations; elliptic curves; \(p\)-torsion points; quadratic \(\mathbb{Q}\)-curves; twisted modular curves; moduli problem | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Gaudin subalgebras; moduli of curves; Kohno-Drnfeld Lie algebras L. Aguirre, G. Felder, and A. P. Veselov, ''Gaudin Subalgebras and Stable Rational Curves,'' Compos. Math. 147(5), 1463--1478 (2011); arXiv: 1004.3253v1 [math.AG]. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) hermitian symmetric tube domains; Severi varieties; Veronese embedding; Segre embedding; Plücker embedding; embedding of the Cayley projective plane; Fano 4-folds W. L. Baily, Exceptional moduli problems, II: Kodaira's issue , Asian J. Math. 4 (2000), 1-9. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Korteweg-de Vries dynamical system; theta functions; period matrices of Riemann surfaces; dynamical systems; effective divisors D; Jacobi coordinate; Jacobian variety; hyperelliptic curves; hyperelliptic thetas; Weierstrass'\(\wp P\)-function Mumford, D.: Tata Lectures on Theta II. Birkhäuser, Boston (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) circular units; Jacobian of Fermat curves; Galois representations; pro-\(\ell\) braid groups; étale covering of projective 1-space; representation in outer automorphism group of profinite fundamental; group; absolute Galois group; completed group algebra; Tate module; Jacobi sums; Galois cohomology Y. Ihara: Profinite braid groups, Galois representations and complex multiplications. Ann. of Math., 123, 43-106 (1986). JSTOR: | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) enumerative geometry of curves; quantum field theory; Gromov-Witten invariants; torus actions; Feynman diagrams; integrable system; infinite Grassmannians; rational curves; Calabi-Yau manifolds M. Kontsevich, Enumeration of rational curves via torus actions, The moduli space of curves (Texel Island 1994), Progr. Math. 129, Birkhäuser, Boston (1995), 335-368. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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; moduli space of principally polarized abelian varieties; mapping class groups; unipotent completion; Hodge Lie algebra; presentation of nilpotent Lie algebras; classical modular forms; special values of L-functions | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) real algebraic variety; semi-algebraic set; coordinate ring; quadratic module; Archimedean; positive function; ring of continuous functions Marshall, M, Representations of non-negative polynomials having finitely many zeros, Annales de la faculté des sciences de Toulouse Mathématiques, 15, 599-609, (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) Heegner points; \(L\)-functions; singular moduli of elliptic curves; discriminants of imaginary quadratic fields | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) automorphism group of curve; product of projective curves; Betti numbers; diagonal quotient surface; desingularizations; Chern numbers; Enriques-Kodaira classification Kani E., Schanz W. (1997). Diagonal quotient surfaces. Manuscripta Math. 93(1):67--108 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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 characterization of real projective space; quadratic forms; Witt group; real components of algebraic varieties; unramified cohomology Sujatha, R, Witt groups of real projective surfaces, Math. Ann., 288, 89-101, (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) Cremona group; noncommutative algebras; deformation quantization of rational surfaces Usnich, Alexandr. \(Action of the Cremona group on a noncommutative ring\). Adv. Math. 228 (2011), no. 4, 1863-1893. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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 \(p\)-dimension; transcendence degrees; central simple algebras; essential dimension; Brauer groups; cyclic algebras Baek, S., Essential dimension of simple algebras in positive characteristic, C. R. Acad. Sci. Paris Sér. I Math., 349, 375-378, (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) weighted projective lines; nilpotent operators; invariant subspace problem; triangle singularities; tilting objects; ADE-chains; Calabi-Yau fractional categories; stable categories of vector bundles; vector bundles on smooth elliptic curves Kussin, D.; Lenzing, H.; Meltzer, H., Nilpotent operators and weighted projective lines, J. Reine Angew. Math., 685, 33-71, (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-Mumford regularity; reduction number; \(a\)-invariant; initial ideal; filtrations of homogeneous ideals; associated graded ring Herzog, J.; Hoa, Le Tuan; Trung, Ngo Viet: Asymptotic linear bounds for the Castelnuovo-Mumford regularity, Trans. am. Math. soc. 354, 1793-1809 (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) history of geometry; genus; Geschlecht; connectivity; algebraic 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) representation theory of semisimple p-adic groups; simple modules; equivariant homology; intersection cohomology; affine Hecke algebra; Graded algebras; completions Lusztig, G, \textit{affine Hecke algebras and their graded version}, J. Amer. Math. Soc., 2, 599-635, (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) map of smooth projective complex curves; degree of curves Abramovich, Dan; Harris, Joe, Abelian varieties and curves in \(W_d(C)\), Compositio Math., 78, 2, 227-238, (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) central extensions of Lie algebras; conformal groups; Witt algebra; conformal field theories; central extensions of groups; two-dimensional conformal field theory; Virasoro algebra; conformal symmetries in dimension two; representation; Verma modules; Kac determinant; diffeomorphism group of the circle; bosonic string theory; Verlinde formula; fusion rule; dimension formula; spaces of generalized theta functions; moduli spaces of vector bundles; compact Riemann surfaces; bibliography Schottenloher, M.: A mathematical introduction to conformal field theory. (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) Fano-Mori contractions; dimension 4; Hilbert scheme of degenerated rational curves; Fano varieties; rational connectivity Andreatta, M.; Wiśniewski, J. A., A view on contractions of higher dimensional varieties, Algebraic geometry, 62, 153-183, (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) Hopf algebra; finitely generated projective module; coassociative homomorphism; inductively defined bialgebras; semisimple bialgebra; bialgebras in endomorphism rings; comultiplication; Dedekind domain; Brauer groups; Azumaya algebras Netzsch, R.: Bialgebren in endomorphismenringen. Ph.d. thesis (1979) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) locally finite categories; coordinate Hopf algebras of affine groups; formal series; smash coproducts | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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; Hopf algebras; Brauer groups; Proceedings; Algebra; Algebraic geometry; Antwerp (Belgium); Brussels (Belgium); SAGA | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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 presentation of line bundles; elliptic ruled surface; Mukai's conjecture; adjoint linear series; homogeneous coordinate ring F. J. Gallego andB. P. Purnaprajna, Normal presentation on elliptic ruled surfaces.J. Algebra 186 (1996), 597--625. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) twisted Segre product; noncommutative graded isolated singularity; densely graded algebra; noncommutative quadric surface; maximal Cohen-Macaulay module | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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; Artin local rings; embedding dimension; locally Noetherian scheme | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) openness of loci; resolution of singularities; excellent rings; resolution of noetherian integral domain; catenary ring; local noetherian rings; lifting | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Pierre de Fermat; René Descartes; Leonhard Euler; affine space; barycenter; real affine space; Pasch's theorem; Euclidean space; metric space; Gram-Schmidt process; approximation by the law of least squares; Fourier approximation; Hermitian space; projective space; duality principle; Fano's theorem; projective quadric; Pascal's theorem; Brianchon's theorem; topology of projective real spaces; algebraic plane curves; Bezout's theorem; Hessian curve; Cramer's paradox; group of a cubic; rational algebraic plane curve; Taylor's formula for polynomials in one or more variables; Eisenstein's criterion; Euler's formula; fundamental theorem of algebra; Sylvester's theorem | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) grassmannian; nets of quadrics; Hilbert scheme of twisted cubic curves I. Vainsencher,A note on the Hilbert scheme of twisted cubics, Bol. S.B.M.18, \#1 (1987), 81-89. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) toric variety; Picard number; dominating family of curves; Euler-Jaczewski sequence; classification of projective bundle; morphism Occhetta, G; Wiśniewski, JA, On Euler-jaczewski sequence and remmert-Van de ven problem for toric varieties, Math. Z., 241, 35-44, (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) flag manifolds; orbits of a real form; CR manifolds; Mostow fibrations; homogeneous CR geometry Altomani, A.; Medori, C.; Nacinovich, M., \textit{orbits of real forms in complex flag manifolds}, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 9, 69-109, (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) minimal generating set of the homogeneous ideal of integral space curve; curves on a surface; Picard groups; liaison; Mori quartic DOI: 10.1016/0022-4049(91)90140-W | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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 algebraic curve; coordinate ring; differential operators; reduced finitely generated commutative k-algebra; Krull dimension one; ring of differential operators J.L. Muhasky: The differential operator ring of an affine curve , Trans. Amer. Math. Soc. 307 (1988), 705-723. JSTOR: | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) freeness of projective modules over polynomial rings; Rees ring; real closed field; rank DOI: 10.1007/BF01446885 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) algebras of invariants; Borel subgroups; central tori; group actions; homogeneous spaces; maximal semisimple subgroups; maximal unipotent subgroups; simple modules; reductive groups; representations; spherical actions; spherical modules; spherical orbits; spherical varieties; weights | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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 of hyperbolic three-manifolds; automorphic representations; holomorphic Siegel modular forms; \(l\)-adic representations; elliptic curves over imaginary quadratic fields; Tate module; Ramanujan conjecture; \(L\)-function Taylor, Richard, \textit{l}-adic representations associated to modular forms over imaginary quadratic fields. II, Invent. Math., 116, 1-3, 619-643, (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) real algebraic variety; projective limit; coordinate ring; quadratic module; Archimedean; positive function S. Kuhlmann and M. Putinar, \textit{Positive polynomials on fibre products}, C. R. Math. Acad. Sci. Paris, 344 (2007), pp. 681--684. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) finite dimensional algebras; indecomposable projective modules; finite dimensional representations; dimension vector; stability; semistability; actions; coarse moduli spaces; projective variety A. D. King, Moduli of representations of finite-dimensional algebras. \textit{Quart. J. Math. Oxford Ser}. (2) \textbf{45} (1994), 515-530. MR1315461 Zbl 0837.16005 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) holomorphic curves; varieties of maximal Albanese dimension; Nevanlinna 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) moduli space for actions of abelian groups on trees of projective lines; compactifications of moduli spaces 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) computational complexity; algebraic geometry; irreducible polynomials; primitive polynomials; finite fields; polynomial factorization; distribution of primitive polynomials; construction of bases; algebraic number theory; computer science; coding theory; cryptography; factorization of bivariate polynomials; fast algorithms; discrete logarithm problem; fast exponentiation; polynomial multiplication; algebraic curves over finite fields; strengthening of the Weil-Serre bound; rational points; elliptic curves; distribution of primitive points; linear recurring sequences; automata; integer factorization; computational algebraic number theory; algebraic complexity theory; polynomials with integer coefficients 20.I. E. Shparlinski, \(Computational and algorithmic problems in finite fields\), Kluwer, Dordtrecht-Boston-London, 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) cluster algebras; Coxeter elements; principal minors; Bruhat cells; principal coefficients; seeds; semisimple algebraic groups; Weyl groups; coordinate rings \textit{Cluster algebras of finite type via Coxeter elements and principal minors} (with S.-W. Yang), Transform. Groups \textbf{13} (2008), no. 3-4, 855-895. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) implicitization; computer aided geometric design; homogeneous polynomials; graded algebra; Rees algebras Busé, Laurent; Jouanolou, Jean-Pierre, On the closed image of a rational map and the implicitization problem, J. Algebra, 265, 1, 312-357, (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) normality of ideals of graded rings; Rees ring DOI: 10.1080/00927870008826939 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) point modules; constacted points; stable scheme; naïve blowing up; strongly noetherian algebras; connected graded algebras; cg algebras Laumon, G., Moret-Bailly, L.: Champs algébriques. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 39, Springer, Berlin (2000) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) value semigroups; algebroid curves; almost Gorenstein rings; almost symmetric semigroups; type of a ring; Apéry set | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) hyperelliptic curves; complex projective structures; holonomy; Beltrami differentials; movements of branch points | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) varieties of minimal rational tangents; uniruled projective manifolds; Cartan geometry; G-structures Hwang, J.-M.: Mori geometry meets Cartan geometry: varieties of minimal rational tangents. In: Proceedings of the International Conference of Mathematicians, Seoul, 2014, vol. I, pp. 369-394. Kyung Moon SA Co., Ltd., Seoul (2014) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) graded commutative rings; graded Hopf algebras; group schemes; group varieties; spectrum | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) contact curves; construction of indecomposable rank 2 vector bundles on projective 4-space; Chern-classes; curve of jumping 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) synthetic geometry; generation 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) algebraic geometry; canonical bundle for curves; projective normality | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Gromov-Witten invariants; group actions; Hamiltonian invariants; torus actions; geometric quotients; stable curves; symplectic geometry; number of rational curves Halic, M.: GW Invariants and Invariant Quotients. Comment. Math. Helv. 77, 145--191 (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) Cohen-Macaulay graded algebra; Gorenstein Artin quotients; coordinate ring of a set of points; canonical module Boij, M., Gorenstein Artin algebras and points in projective space, Bull. Lond. Math. Soc., 31, 1, 11-16, (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) supersingular elliptic curves; endomorphism rings; isogenies; isogeny graphs; 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) noncommutative arithmetic spaces; functor of points; Arakelov height; arithmetic 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) family of projective subspaces in projective space; nerve complex; simple homotopy type; Krull dimension; homology groups | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) spectrum, Krull dimension, regular rings; Spec; Noetherian rings; G- domain | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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 tori; quantum Weyl algebras; projective modules; Morita equivalences; Picard groups; double affine Hecke algebras Berest, Yu.; Ramadoss, A.; Tang, X., The Picard group of a noncommutative algebraic torus, J. noncommut. geom., 7, 2, 335-356, (2013), arXiv:10103779 [math.QA] | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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 on projective variety; plurigenera; Kodaira dimension; symmetric power | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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; noncommutative motives; dg categories; noncommutative algebraic geometry; algebraic \(K\)-theory; cyclic homology; nilinvariance G. Tabuada and M. Van den Bergh, Noncommutative motives of Azumaya algebras, J. Inst. Math. Jussieu 14 (2015), no. 2, 379-403. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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 variety; Kodaira dimension; moduli space of curves Bruns, Gregor, \(\overline{\mathcal{R}}_{15}\) is of general type, Algebra Number Theory, 10, 9, 1949-1964, (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) non-vanishing of \(L\)-functions; twisted \(L\)-functions of elliptic curves; function fields; elliptic curve rank in extensions | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) motivic homotopy theory; slice filtration; motivic cohomology; algebraic \(K\)-theory; Hermitian \(K\)-theory; higher Witt-theory; quadratic forms over rings of integers; special values of Dedekind \(\zeta \)-functions of 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) moments of quadratic Dirichlet; \(L\)-functions; ratios of \(L\)-functions; function fields; random matrix theory; hyperelliptic curves Andrade, J. C.; Keating, J. P., Conjectures for the integral moments and ratios of \textit{L}-functions over function fields, J. Number Theory, 142, 102-148, (2014) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) right ideals; fractional ideals; integral closure; first Weyl algebra; graded regular algebras; generators; relations; graded reflexive right ideals; graded modules; Artin's quantum plane; equivalence of derived categories; Kronecker quiver DOI: 10.1006/jabr.1995.1046 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) local Artinian rings; Wedderburn complements; total rings of fractions; universal enveloping algebras; Heisenberg algebras; coefficient rings; Schur index; Brauer groups; purely inseparable field extensions | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) uniformisation; modular curves; theta constants with rational characteristics; meromorphic modular forms; principal congruence subgroup; geometry of the punctured Riemann surface; explicit constructions of covering maps Farkas, H., Kopeliovich, Y., Kra, I.: Uniformizations of modular curves. Commun. Anal. Geom. 4(2), 207--259 (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) Lie algebras; Mumford-Tate groups; Tate modules; dimension of an abelian variety Yu. G. Zarhin, Abelian varieties of Lie algebras , Mathematics and Modelling, Research Computing Center of the USSR Academy of Sciences, Pushchino, 1990, English translation will appear in Selecta Math. Soviet, pp. 57-99. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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 smooth projective curves; mixed Hodge structure; Satake compactification; variation of Hodge structure Kabanov, The second cohomology with symplectic coefficients of the moduli space of smooth projective curves, Compos. Math. 110 pp 163-- (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) Hilbert schemes of curves; lines; conics; twisted cubics Maia, J. A. D.; Silva, A. R.; Vainsencher, I.; Xavier, F., Enumeration of surfaces containing a curve of low degree, J. Pure Appl. Algebra, 217, 1379-1394, (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) \(p\)-adic linear differential equations; \(p\)-adic \(L\)-functions; Gross-Koblitz formula; Dwork's cohomology theory; Bessel functions; deformation equation; eigenvalues; twisted Kloosterman sums; Frobenius map; growth of solutions; Gauss sums; Boyarski principle; p-adic gamma function Adolphson, A.; Sperber, S., \textit{twisted Kloosterman sums and} p\textit{-adic Bessel functions}, American Journal of Mathematics, 106, 549-591, (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) tropical geometry; Hurwitz numbers; covers of curves A. Buchholz, H. Markwig, Tropical covers of curves and their moduli spaces. Commun. Contemp. Math. (2013). https://doi.org/10.1142/S0219199713500454 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) groups; linear algebra; infinite dimensional spaces; systems of linear differential equations; symmetry; finite subgroups of rotation group; free groups; generators; relations; Todd-Coxeter algorithm; bilinear forms; spectral theorems; linear groups; group representations; rings; algebraic geometry; factorization; modules; function fields and their relations to Riemann surfaces; Galois 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) Tate module; \(\ell \)-adic representations; Galois groups; Weil-Riemann conjecture; \(\ell \)-adic Lie algebras; dimension of Abelian variety | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Schottky problem; moduli of algebraic curves; moduli of abelian varieties; Torelli map; coarse geometry; asymptotic cones; compactified 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) generalized Cartan matrix; Kac-Moody Lie algebras; Kac-Moody groups; projective normality of Schubert varieties; tensor product of two G- modules O. Mathieu : Construction du groupe associé aux algèbres de Kac-Moody . Comptes Rendus 306 série I (1988) 227-230. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative 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 curves; Petri theorem; syzygies of the homogeneous ideal; line bundle Green M., Lazarsfeld R., A simple proof of Petri's theorem on canonical curves, In: Geometry Today, Rome, June 4--11, 1984, Progr. Math., 60, Birkhäuser, Boston, 129--142 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) variety of algebras; free algebra; algebraic geometry in a variety; logical geometry in a variety; geometrically equivalent algebras; logically equivalent 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) textbook; associative algebras; algebraic number theory; quadratic forms; number fields; adèles and idèles; homological algebra; Abelian categories; algebraic curves; algebraic varieties; algebraic schemes; Gröbner bases Knapp A. W., Advanced Algebra, Birkhäuser, Boston, 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) arrangements of hyperplanes; covariant derivative; local system; twisted cohomology; logarithmic forms; intersection form; Künneth formula; Veronese map Iwasaki, K., and Kita, M.: Exterior power structure on the twisted de Rham cohomology of the complements of real Veronese arrangements. J. Math. Pures Appl., 75 , 69-84 (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) higher dimensional projective varieties; vector bundles; zero-cycles; configurations of points; Lie algebras; Higgs bundles I. Reider, Configurations of points and strings , J. Geom. Phys. 61 (2011), 1158-1180. | 0 |
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