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noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) vector bundles on projective spaces; graded modules; exterior algebras; Bernstein-Gelfand-Gelfand correspondence; Horrocks-Mumford bundles; Tango bundles; indecomposability; derived categories of coherent sheaves; finite-dimensional algebras | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Mumford's fake plane; surfaces of general type; minimal elliptic surface; Bloch conjecture Barlow R.N.: Zero-Cycles on Mumford's Surface, vol. 126, pp. 505--510. Math. Proc. Camb. Phil. Soc, Cambridge (1999) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) normal complex surfaces; germs of complex curves; degenerating families of complex curves; Seifert manifolds; Waldhausen manifolds; fibrations over the circle Pichon, A., Fibrations sur le cercle et surfaces complexes. Ann. Inst. Fourie(Grenoble), 51:2 (2001), 337--374. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) symmetric tensor decomposition Carlini, E.; Catalisano, M. V.; Oneto, A., Waring loci and Strassen conjecture, Adv. Math., 314, 630-662, (2017) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) degenerations of Kummer surfaces; abelian surface; Nieto's quintic threefold; toroidal compactification of the Siegel modular threefold | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Arakelov theory; Arakelov-Green functions; Wronskian differential; Belyi degree; arithmetic surfaces; Riemann surfaces; curves; Arakelov invariants; Faltings height; discriminant; faltings' delta invariant; self-intersection of the dualising sheaf; branched covers Javanpeykar, A.: Polynomial bounds for Arakelov invariants of Belyi curves. With an appendix by Peter Bruin. Algebra Number Theory \textbf{8}(1), 89-140 (2014) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) authentication codes with secrecy; algebraic function fields; linearized polynomials Özbudak, E.K.; Özbudak, F.; Saygı, Z., A class of authentication codes with secrecy, Des. codes cryptogr., 59, 287-318, (2011) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) complexity; incidence algebras; adherence order; completely regular monoids; group of semigroup automorphism; regular monoids | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Vojta's conjectures; function fields; fibered threefolds; heights; \(S\)-units | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) cohomology of moduli spaces of curves; curves over finite fields; hyperelliptic curves J. Bergström, Equivariant counts of points of the moduli spaces of pointed hyperelliptic curves, Doc. Math. 14 (2009), 259-296. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) universal algebraic geometry; free modules over Lie algebras; free semimodules over semirings; semi-inner automorphisms; varieties of universal algebras; congruences of finitely generated free algebras; automorphism groups; free Lie modules Katsov, Y.; Lipyanski, R.; Plotkin, B., Automorphisms of categories of free modules, free semimodules, and free Lie modules, Comm. Algebra, 35, 931-952, (2007) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) zeta-function; number-field; finiteness of Brauer group; function-field analogue of the conjecture of Birch and Swinnerton-Dyer Lichtenbaum, S.: Behavior of the zeta-function of open surfaces at s=1. Adv. stud. Pure math. 17, 271-287 (1989) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) trivial canonical bundles; degeneration of surfaces; semi-stable degeneration of \(K_ 3\)-surfaces Nishiguchi, Journal of Computational Physics 52 pp 390-- (1983) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Koszul algebras; projections of the Veronese surface; diagonal algebras; complete intersections Caviglia, G; Conca, A, Koszul property of projections of the Veronese cubic surface, Adv. Math., 234, 404-413, (2013) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) generic configuration; mirror image; moduli space of real algebraic surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) sets of points in projective space; Hilbert function | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Galois theory; rings; modules; algebras; coverings; Riemann surfaces; categories; functors; Belyi polynomials; dessins d'enfants Régine Douady and Adrien Douady, Algèbre et théories galoisiennes. 1, CEDIC, Paris, 1977 (French). Algèbre. [Algebra]. Régine Douady and Adrien Douady, Algèbre et théories galoisiennes. 2, CEDIC, Paris, 1979 (French). Théories galoisiennes. [Galois theories]. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) surfaces of general type; \(p_g=0\); homology groups; products of curves; actions of finite abelian group; isotrivial fibrations; surfaces isogenous to a product; fake quadrics; branched coverings; fundamental group | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) hyperbolic geometry; real Riemann surfaces; topology of surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) non-reduced moduli space; surfaces of general type; Kuranishi space; existence of a (-2)-curve Konno K. Certain algebraic surfaces with non-reduced moduli space. Portugal Math, 2000, 57: 169--178 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) de Rham-Witt complex; algebraic K-theory of fields Geisser, T.; Hesselholt, L., The de Rham-Witt complex and \(p\)-adic vanishing cycles, J. Am. Math. Soc., 19, 1-36, (2006) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) noncommutative algebraic geometry; triangulated categories; tilting complexes; Serre functors; quiver algebras Minamoto, H, Ampleness of two-sided tilting complexes, Int. Math. Res. Not. IMRN, 2012, 67-101, (2012) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) existence of exceptional bundles on Enriques surfaces S. Zube, Exceptional vector bundles on Enriques surfaces, Math. Notes 61 (1997), no. 6, 693-699. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Artinian; Gorenstein; local Artinian Gorenstein algebras; Hilbert function Jelisiejew, J.: Classifying Local Artinian Gorenstein Algebras. Collect. Math. \textbf{68}(1), 101-127 (2017) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) moduli space; factorization of holomorphic sections of line bundles; rank two parabolic bundles; Riemann surfaces; Verlinde formula Daskalopoulos G., Wentworth R.: Factorization of rank two theta functions II. Proof of the Verlinde formula. Math. Ann. 304, 21--51 (1996) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) algebraic cycles; Chow groups; motives; \(K3\) surfaces; cubic hypersurfaces; Fano varieties of lines; Franchetta conjecture; hyper-Kähler varieties; Beauville ``splitting property'' conjecture; multiplicative Chow-Künneth decomposition | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Voevodsky's nilpotence conjecture; noncommutative motives; noncommutative algebraic geometry; derived category; cubic fourfolds; Gushel-Mukai fourfolds; noncommutative \(K3\) surfaces | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) curve; genus; symmetric product; Néron-Severi group; slope of a divisor Kouvidakis, A.: Divisors on symmetric products of curves. Trans. Am. Math. Soc. 337, 117--128 (1993) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) chainable fields; chains of orderings of higher level; higher level Hilbert's seventeenth problem; Nullstellensatz for chain-closed fields Gondard-Cozette, D.: Chainable fields and real algebraic geometry. Lecture notes in math. 1420 (1990) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) crystallographic group; Automorphism groups of compact Klein surfaces; N.E.C. groups | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Morita equivalence; Picard group; biisomorphism classes R-bimodules; equivalence of categories; category of left R-modules; natural transformations; self-duality Kraemer, J.: (Self)-duality and the Picard group. Comm. alg. 16, 2283-2311 (1988) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) automorphisms of free algebras; tame automorphisms; wild automorphisms; Anick automorphism; free metabelian algebras; Jacobian matrix; elementary matrices; polynomial algebras Umirbaev, U., The anick automorphism of free associative algebras is wild, \textit{J. Reine Angew. Math.}, 605, 165-178, (2007) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Beurling spectrum of a function; locally compact Abelian group; parabolic equation; continuous unitary character; Banach space; Fourier transform; Banach module; directed set; Stepanov set Žikov, V.V., Tjurin, V.M.: The invertibility of the operator \(d/dt+A(t)\) in the space of bounded functions. Mat. Zametki, \textbf{19}, 99-104 (1976). English translation: Math. Notes \textbf{19}(1-2), 58-61 (1976) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) generating function; product decompositions; symmetric group; separable permutations; weak Bruhat order | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Albanese variety; algebraic cycles; second cohomology group of a surface with prescribed singularities; curves on surfaces; effective divisor; 1- motive; periods | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) cross ratio variety; rational double point; Weyl groups; Appell- Lauricella hypergeometric function; deformation of \(E_ 6\)-singularity; cubic surface; Cayley family J. Sekiguchi: The versal deformation of the \(E_6\)-singularity and a family of cubic surfaces , J. Math. Soc. Japan 46 (1994), 355--383. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) automorphisms of Abelian surfaces; Kummer surface; analog of Nikulin's theorem Barth, W., K3 surfaces with nine cusps, Geom. Dedic., 72, 171-178, (1998) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Hilbert modular surfaces; topological manifolds; geometric structures on manifolds; algebraic numbers; rings of algebraic integers; real and complex geometry; geometric constructions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Lefschetz theorem; Riemann surfaces; Jacobians; Riemann-Roch theorem; Abel-Jacobi theorem; Riemann period relations; theta functions; embeddings of complex tori; modular curves; Tate conjecture; Arakelov theory V. Kumar Murty, Introduction to abelian varieties, CRM Monograph Series, vol. 3, American Mathematical Society, Providence, RI, 1993. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) quadratic reciprocity; function fields; theta function; Gauss sums K. Merrill and H. Walling, On quadratic reciprocity over function fields, Pacific J. Math. 173 (1996), 147--150. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) families of \(K3\) surfaces; coupling of weight systems; duality of Picard lattices; toric hypersurfaces determined by lattice polytopes | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Weierstrass points on the moduli space; Riemann surfaces of genus 3; inflexion points; hyperflex A.M. Vermeulen. \textit{Weierstrass points of weight two on curves of genus three}. Universiteit van Amsterdam, Amsterdam, 1983. Dissertation, University of Amsterdam, Amsterdam, 1983;With a Dutch summary. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Weil numbers; smooth curve over a field; zeta function; Riemann hypothesis; abelian varieties over finite fields Rück, H. G., Abelian surfaces and Jacobian varieties over finite fields, Compos. Math., 76, 3, 351-366, (1990) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) differentiable invariant; \(\Gamma_ X\)-invariant for compact, oriented smooth 4-manifolds; moduli spaces of PU(2)-connections; Dolgachev surfaces; Barlow surface Okonek, C., Van de Ven, A.: {\(\Gamma\)}-invariants associated to PU(2)-bundles and the differentiable structure of Barlows surface. Invent. Math.95, 602--614 (1989) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) subrational; unirational; subruled; uniruled; ruled fields; ruling; generalized Lüroth theorem; Samuel problem; Zariski problem; separability Jack Ohm, On ruled fields, Sém. Théor. Nombres Bordeaux (2) 1 (1989), no. 1, 27 -- 49 (English, with French summary). | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) combinatorial identities; root systems; inverse Euclidean transform; Plancherel measure; symmetric spaces of the non-compact type | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) main sections of surfaces of second order | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) surfaces of general type; Calabi-Yau threefolds; covering; varieties of minimal degree; canonical ring Gallego F.J., Purnaprajna B.P. (2003). On the canonical rings of covers of surfaces of minimal degree. Trans. Amer. Math. Soc. 355:2715--2732 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) automorphic forms; Dolbeault cohomology; unitary groups; Picard modular surfaces; cohomology groups; coherent sheaves; Griffiths-Schmid variety; anisotropic form of the unitary group SU(2,1); coherent cohomology; automorphic representations Carayol, H., Quelques relations entre LES cohomologies des variétés de Shimura et celles de Griffiths-schmid (cas du groupe \(S U(2, 1)\)), Compos. Math., 121, 305-335, (2000) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) principally polarized Adler-van Moerbeke surfaces; Kummer surfaces; abelian surfaces as complete intersections of webs of quadrics Szemberg, T.: On principally polarized adler--Van moerbeke surfaces. Math. nachr. 185, 239-260 (1997) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) singular projective curves; normalization maps; rings of differential operators; invertible sheaf; maximal finite dimensional factor algebras; category of quasi-coherent sheaves | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) quantum projective planes; homogeneous coordinate rings; graded algebras; Hilbert series; regular algebras; schemes; sheaves of algebras Mori, I, The center of some quantum projective planes, J. Algebra, 204, 15-31, (1998) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) rank-level duality; vertex algebras; conformal blocks; Picard group of the moduli stack of stable curves; psi classes; conformal embedding S. Mukhopadhyay, Rank-level duality and conformal block divisors, preprint (2013), . | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) principal hook lengths; Durfee size; skew characters; symmetric group; skew Schur functions; Schubert Calculus Gutschwager, C.: On principal hook length partitions and durfee sizes in skew characters. Annals Comb. (to appear). arXiv:0802.0417v2 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) representation theory; Lie algebras; vector fields; category \(\mathcal O\); connected reductive algebraic groups; Grassmannians; parabolically induced modules; Hermitian pairs Draisma, J., Representation theory on the open Bruhat cell, J. Symb. Comput., 39, 279-303, (2005) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) constants of functional equation of zeta function; characteristic p; zeta function associated with a regular irreducible prehomogeneous vector space; Gaussian sums | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) torsion groups of elliptic curves with integral j-invariant; pure cubic number fields Fung, G.; Ströher, H.; Williams, H.; Zimmer, H.: Torsion groups of elliptic curves with integral j-invariant over pure cubic fields. J. number theory 36, 12-45 (1990) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) moduli of curves; poincare polynomial; operads; tensor species | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) partially symmetric rank; cactus rank; tensor rank; W-state; entanglement | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) connected reductive algebraic groups; orthogonal groups; parabolic subgroups; dense orbits; unipotent radical; Auslander algebras; truncated polynomial algebras; Richardson orbit; filtered modules; numbers of orbits Baur, K; Erdmann, K; Parker, A, {\(\Delta\)}-filtered modules and nilpotent orbits of a parabolic subgroup in \(O\)\_{}\{\(N\)\}, J. Pure Appl. Algebra, 215, 885-901, (2011) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) quartic residue; two dimensional irreducible complex representation; cusp form of weight one; Weil-Langlands theory; Fourier coefficients; identities between cusp forms; quartic reciprocity; higher reciprocity law; cusp form of weight two; inverse Mellin transform; L-function of elliptic curve; congruence mod 4 N. Ishii, ''Cusp forms of weight one, quadratic reciprocity and elliptic curves,''Nagoya Math. J.,98, 117--137 (1985). | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) minimal surfaces of general type; fundamental group; index B. Moishezon and M. Teicher, Galois coverings in the theory of algebraic surfaces, Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985) Proc. Sympos. Pure Math., vol. 46, Amer. Math. Soc., Providence, RI, 1987, pp. 47 -- 65. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Hilbert function; module of differentials; uniform position; generic position; liaison; coding theory; canonical module; Cayley Bacharach schemes; zero-dimensional subschemes; Castelnuovo function Kreuzer, M.: Beiträge zur theorie nulldimensionalen unterschemata projektiver räume. Regensburger math. Schr. 26 (1998) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Galois coverings; Galois theory of Riemann surfaces Reyssat, E.: In: Waldschmidt, M., Moussa, P., Louck, J.M., Itzykson, C. (eds.) From Number Theory to Physics. Springer, Berlin Heidelberg New York (1992) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) hypergeometric differential equations; algebraic surfaces of general type | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) regular system of weights; simple Lie algebras; elliptic Lie algebras; homotopy category of matrix factorizations; vanishing cycles; \(*\)-duality Saito, K.: Towards a categorical construction of Lie algebras, Adv. stud. Pure math. 50, 101-175 (2008) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) periodic points; algebraic function; 2-adic field; ring class fields; quartic Fermat equation | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) \(K3\) surfaces; variation of curves; Hitchin system; Mukai system; tangent bundle; stability | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) dimension of Picard group; moduli space of K-3 surfaces; numerically effective divisor O'Grady, Kieran G, On the Picard group of the moduli space for \(K\)-\(3\) surfaces, Duke Math. J., 53, 117-124, (1986) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) cluster algebras; affine varieties; Dynkin diagrams; finite fields | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) rationality of the zeta function; Lefschetz trace formula; resolution of singularities R. Pink, On the calculation of local terms in the Lefschetz-Verdier trace formula and its application to a conjecture of Deligne, Ann. of Math., 135 (1992), 483--525. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) ruled surfaces; mapping theory | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) global sections of line bundles; super Riemann surfaces; j- superdifferentials; spectral sequence Hodgkin, L.: Problems of fields on super Riemann surfaces. J. Geom. and Phys.6, 333--348 (1989) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) central simple K-algebra; involution of the second kind; Galois extensions; generalized involution; split algebras; cyclic algebras; Hermitian forms; corestriction | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) \(k\)-configuration; Hilbert function; Gorenstein ideals of codimension three; vanishing ideals | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) simple integrable modules; double affine Hecke algebras; perverse sheaves; linear algebraic groups; Lie algebras; Cartan subalgebras; Borel subalgebras; root systems; affine Weyl groups; simple reflections; pairings; equivariant \(K\)-theory; Jordan-Hölder multiplicities of induced modules Vasserot, Eric, Induced and simple modules of double affine Hecke algebras, Duke Math. J., 126, 2, 251-323, (2005) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (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 Q. Liu, \(Algebraic Geometry and Arithmetic Curves\) (Oxford University Press, Oxford, 2006) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) moduli space of Riemann surfaces; Calabi-Yau elliptic space; Frobenius algebra; heat kernel; ultra-violet divergence; topological conformal field theory; modular operad; orbi-cell complex; open topological field theory; Deligne-Mumford compactification | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) nonisolated singularities; non-degenerate singularities; topological zeta functions; monodromy conjecture; toric varieties; Newton polytopes; non-convenient Newton polyhedra; eigenvalues of monodromy; corners; hypermodular function; lattice geometry | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) action of a group on a surface; Belyĭ function; dessin; hypermap; map; map covering; orbifold Breda d'Azevedo, A; Catalano, DA; Karabáš, J; Nedela, R, Maps of Archimedean class and operations on dessins, Discret. Math., 338, 1814-1825, (2015) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) real algebraic geometry; sums of squares; special curves; surfaces of minimal degree | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) few rational points of Shimura curve; imaginary quadratic number field; quaternionic multiplication; QM-abelian surfaces; potential good reduction B. Jordan,Points on Shimura curves rational over number fields, Journal für die reine und angewandte Mathematik371 (1986), 92--114. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Teichmüller theory; Teichmüller space; Teichmüller metric; Strebel differentials; hyperbolic spaces; analytic moduli of Riemann surfaces; Deligne-Mumford compactification; geodesic flows Masur, H.: Geometry of Teichmüller space with the Teichmüller metric. In: Surveys in differential geometry, vol. 14. Geometry of Riemann surfaces and their moduli spaces, volume 14 of Surv. Differ. Geom., pp. 295-313. Int. Press, Somerville (2009) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) free profinite groups; quasi-free profinite groups; semi-free profinite groups; absolute Galois groups; Laurent series fields; function fields; embedding problems L. Bary-Soroker, D. Haran and D. Harbater, Permanence criteria for semi-free profinite groups, Mathematische Annalen 348 (2010), 539--563. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) instructional exposition; textbooks; group theory; field theory and polynomials; commutative rings and algebras; noncommutative rings; algebraic geometry; homological algebra Ash, R. B., Basic abstract algebra. for graduate students and advanced undergraduates, (2007), Dover Publications, Inc. Mineola, NY | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Hilbert scheme of points; natural isomorphisms; smooth surfaces; automorphisms | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) factorization of canonical morphism between two normal Gorenstein surfaces; blowing up F. Sakai, Normal Gorenstein surfaces and blowing ups, Saitama Math. J.1 (1983), 29--35. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) matrix invariants; representations of quivers; semi-invariants of quivers; algebras of semi-invariants; fibre bundles; bipartite quivers Mátyás Domokos and, A. N. zubkov. semi-invariants of quivers as determinants, Transformation Groups, 6, 9-24, (2001) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) algebraic geometry; first-order logic; algebraic sets; algebraic logic; Halmos categories; variety of algebras B. Plotkin and E. Plotkin, Multi-sorted logic and logical geomeytry: Some problems, \textit{Demonstratio Mathematica}, \textbf{XLVII}(4) (2015) 578-618; \textit{J. Math. Sci.}\textbf{137}(5) (2006) 5049-5097. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) global dimension; rings of global sections; sheaves of twisted differential operators; spectral sequence; flag varieties; enveloping algebras of semisimple Lie algebras; Weyl group DOI: 10.1112/blms/24.2.148 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Fox-Neuwirth cell structures; configuration spaces; cohomology of symmetric groups Chad Giusti and Dev Sinha, Fox-Neuwirth cell structures and the cohomology of symmetric groups. Preprint, arXiv:1110.4137, 2011. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) nonnoetherian rings; foundations of algebraic geometry; noncommutative algebraic geometry Beil, C., Nonnoetherian geometry, \textit{J. Algebra Appl.}, 15, (2016) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) moduli spaces; surfaces of general type; Hurwitz action; surfaces isogenous to a product | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) homotopy theory; o-minimal expansions of fields; homotopy groups; Hurewicz theorem; Whitehead theorem Baro, E.; Otero, M.: On o-minimal homotopy groups, Quart. J. Math. 61, 275-289 (2010) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) moduli of vector bundles; del Pezzo surfaces; birational geometry; Fano varieties | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) concealed-canonical algebras; separating exact subcategories; components of Auslander-Reiten quivers; quadratic forms; Artin algebras; tame hereditary algebras Lenzing, H.; de la Peña, J. A., Concealed-canonical algebras and separating tubular families, Proc. Lond. Math. Soc., 78, 513-540, (1999) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Euclidean lattice; geometric Voronoï theory; perfect lattice; eutaxy; systole; length function; convexoïdal; configuration of minimal vectors; Humbert form; invariant of Hermite-Humbert; invariant of Bergé-Martinet; Riemann surface C. Bavard, ''Théorie de Voronoï géométrique. Propriétés de finitude pour les familles de réseaux et analogues,'' Bull. Soc. Math. France 133, 205--257 (2005). | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) noncommutative formal power series; language; zeta function; algebraic function C. Kassel and C. Reutenauer, Complete determination of the zeta function of the Hilbert scheme of n points on a two-dimensional torus, \textit{Ramanujan J.}, to appear. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) integrable highest weight modules; construction of enveloping algebra; Kac-Moody algebras; quiver varieties; Hecke correspondences H. Nakajima, ``Quiver varieties and Kac-Moody algebras'', Duke Math. J.91 (1998) no. 3, p. 515-560 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) normalized Mumford form; moduli space of algebraic curves; Ramanujan delta function; Polyakov string measure | 0 |
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