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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) abelian variety; function fields of curves; heights; Néron model | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) finite fields; pairing-based cryptography; elliptic curves of \(j\)-invariant 1728; Kummer surfaces; rational curves; Weil restriction; isogenies | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) symplectic vector spaces; symplectic reflection algebras; deformations of skew group rings; Poisson algebras; prime ideals Martino M.: The Associated variety of a Poisson Prime Ideal. J. London Math. Soc. 72(2), 110--120 (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) left symmetric algebras; Lie-admissible algebras; semisimple algebraic groups; algebra of invariants; representations Baues, O., Left-symmetric algebras for \(g l(n)\), \textit{Transactions of the American Mathematical Society}, 351, 7, 2979-2996, (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) Riemann hypothesis in function-fields; algebro-geometric theory of curves and their correspondences Weil, André, Sur les courbes algébriques et les variétés qui s'en déduisent, Actual. Sci. Ind., vol. 1041, (1948), Hermann et Cie: Hermann et Cie Paris | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) parametrization of ruled surfaces; normality; affine base points; parametrization of rational surfaces Sendra, J. Rafael; Sevilla, David; Villarino, Carlos, Covering rational ruled surfaces, Math. comp., 86, 308, 2861-2875, (November 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) additive decomposition; additive decomposition of forms; Veronese variety; symmetric tensor rank | 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; flasque classes; generic algebras; symplectic groups; orthogonal groups; stably rational field extensions; Noether settings; division rings of generic matrices; fields of invariants E. Beneish, Centers of generic algebras with involution, J. Algebra 294 (2005), no. 1, 41--50. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) division points of Drinfeld modules; arithmetic of function fields; class numbers; cyclotomic function fields; zeta-functions; Teichmüller characters; Artin conjecture; Artin L-series; p-adic measure; Main conjecture of Iwasawa theory; Frobenius; p-class groups; Bernoulli- Carlitz numbers Goss, D.: Analogies between global fields. Canad. math. Soc. conf. Proc. 7, 83-114 (1987) | 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 variety; \(abc\)-conjecture; finiteness theorem for \(S\)-unit points of a diophantine equation; Nevanlinna-Cartan theory over function 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) principal bundle; projective curve; moduli stack; generalized theta function; Strange Duality; conformal embedding of Lie algebras; space of conformal blocks Boysal, A., Pauly, C.: Strange duality for Verlinde spaces of exceptional groups at level one. Int. Math. Res. Not. (2009). 10.1093/imrn/rnp151 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) density of integer points; symmetric space; affine variety; volume function; regularizing Eisenstein periods Good, A.: The convolution method for Dirichlet series. In: \textit{The Selberg trace formula and related topics (Brunswick, Maine, 1984)}, volume~53 of \textit{Contemp. Math.}, pages 207-214. Amer. Math. Soc., Providence, RI, (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) central simple algebras; Henselian fields; quaternion algebras; conic bundle surfaces; real closed fields; ramification; Fadeev reciprocity law | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) abstract elliptic function fields; divisor class group of finite order Hasse, H., Zur theorie der abstrakten elliptischen funktionenkörper. I. die struktur der gruppe der divisorenklassen endlicher ordnung, J. Reine Angew. Math., 1936, 175, 55-62, (1936) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) superalgebra; spin structure; BMRR-algebra; graded Riemann surfaces; Krichever-Novikov algebras; graded conformal vector fields Bryant, P.: Graded Riemann surfaces and Krichever-Novikov algebras. Lett. Math. Phys. 19, 97--108 (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) symmetric ring; noncommutative ring; skew PBW extension | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Picard group; Tamagawa number; Brauer-Manin obstruction; Zbl 0991.72285; asymptotic behaviour; counting function; number of rational points of bounded height; Fano variety; geometric invariants; diagonal cubic surfaces; algorithm Peyre, E.; Tschinkel, Y., \textit{Tamagawa numbers of diagonal cubic surfaces, numerical evidence}, Math. Comp., 70, 367-387, (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) Hilbert schemes of points on surfaces; symmetric quotients; Nakajima operators; autoequivalences of derived categories | 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 primes in function fields; extension of field of constants; genus Stöhr, K-O, On singular primes in function fields, Arch. Math., 50, 156-163, (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) polarized \(K3\) surfaces; Tate's conjecture for \(K3\) surfaces; finitely generated fields of odd characteristic; Kuga-Satake abelian varieties Madapusi Pera, K., \textit{the Tate conjecture for K3 surfaces in odd characteristic}, Invent. Math., 201, 625-668, (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) differential graded Lie algebras; DGLA; symmetric coalgebras; \(L_\infty\)-algebras; functors of Artin rings; Kähler manifolds; period map; Cartan homotopies Fiorenza, D; Manetti, M, A period map for generalized deformations, J. Noncommut. Geom., 3, 579-597, (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) polynomial equations of genus zero and one; function field; algorithms; effective determination; diophantine equations in two unknowns; Thue equations; hyperelliptic equations; fundamental inequality; fields of positive characteristic; explicit bounds; solutions in rational functions; superelliptic equations R. C. Mason, \textit{Diophantine Equations over Function Fields.} London Mathematical Society Lecture Note Series, Vol. 96. Cambridge Univ. Press, Cambridge, 1984. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) deformations of ruled manifolds; ruled 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) Kashiwara crystals; crystals of tableaux; Stembridge crystals; virtual, fundamental, normal crystals; insertion algorithms; plactic monoid; bicrystals and Littlewood-Richardson rule; crystals for Stanley symmetric functions; patterns; Weyl group action; Demazure crystals; crystals and tropical geometry; Lie algebras; representations | 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 division algebras; central simple algebras; function fields; Brauer-Severi variety; center; Brauer groups; specializations; irreducibility; Hilbertian fields; involutions [Sa] D. J. Saltman,A note on generic division algebras, Contemporary Mathematics130 (1992), 385--394. | 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 projective geometry; noncommutative surfaces; Sklyanin algebras; Noetherian graded rings; noncommutative blowing up and blowing down; Castelnuovo's contraction theorem | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) semisimple Lie group; representation of the fundamental group; Higgs bundle; moduli space; Hermitian symmetric space; Morse function Bradlow, S. B.; García-Prada, O.; Gothen, P. B., Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces, Geom. Dedic., 122, 185-213, (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) genus; rational places; existence of algebraic function fields; Abelian extensions; different [F-P-S] G. Frey, M. Perret and H. Stichtenoth,On the different of Abelian extensions of global fields, inCoding Theory and Algebraic Geometry (H. Stichtenoth and M. Tsfasman, eds.), Proceedings AGCT3, Luminy June 1991, Lecture Notes in Mathematics1518, Springer, Heidelberg, 1992, pp. 26--32. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) graded subalgebras; tensor algebras; S-algebras; invariant algebras; Endlichkeitssatz; noncommutative invariants; generating functions; Hilbert series | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) graded skew Clifford algebras; graded Clifford algebras; Artin-Schelter regular algebras; noncommutative algebraic geometry; complete intersections; quadratic algebras Cassidy, T.; Vancliff, M., Corrigendum to ``generalizations of graded Clifford algebras and of complete intersections'', Journal of the London Mathematical Society, 90, 631-636, (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) Analytic varieties; Proceedings; Symposium; Kyoto; RIMS; pseudoconvex domain; analytic varieties; Moduli spaces; compact Kähler manifolds; automorphism groups of certain compact Riemann surfaces; Logarithmic vector fields; Coxeter equality; Analytic K-theory; meromorphic maps into \(P^ N({\mathbb{C}})\); H. Cartan's theorems; Riemann- Hilbert problems; duality theorem; pseudoconvex region; rational homotopy type of open varieties; de Rham homotopy; combinatorial space forms | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) arithmetic of rational points; varieties over function fields; cardinaltiy of the set of fibrations; uniform boundedness of rational points; distribution of rational points | 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; number fields; central simple algebras; Kummer surfaces; \(K3\) surfaces; Hasse principle | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Riemann surfaces; algebraic curves; automorphisms; fields of moduli Hidalgo, Rubén A., Non-hyperelliptic Riemann surfaces with real field of moduli but not definable over the reals, Arch. Math. (Basel), 93, 3, 219-224, (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) sectional genus; classification of irregular ruled surfaces; very ample line bundle; iterating the adjunction process Biancofiore A., Livorni E.L.:Algebraic ruled surfaces with low sectional genus.Ricerche di Matematica.Vol.XXXVI,fasc.1{\(\deg\)} (1987) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Bogomolov conjecture over function fields; discrete embedding of curve; Néron-Tate height pairing; admissible pairing; Green function; semistable arithmetic surface A. Moriwaki, Bogomolov conjecture over function fields for stable curves with only irreducible fibers, Compos. Math. 105 (1997), 125-140. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) distribution of ideal class groups of imaginary quadratic fields; distribution of class groups of hyperelliptic function fields; \(\ell\)-adic Tate module; equidistribution conjecture; Cohen-Lenstra principle Friedman, Eduardo; Washington, Lawrence C., On the distribution of divisor class groups of curves over a finite field.Théorie des nombres, Quebec, PQ, 1987, 227\textendash 239 pp., (1989), de Gruyter, Berlin | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) function fields; plane cubics of genus one; exceptional points Nagell, T. Les points exceptionnels sur les cubiques planes du premier genre II, Nova Acta Reg. Soc. Sci. Ups., Ser. IV, vol 14, n:o 3, Uppsala 1947. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) cyclotomic function fields; arithmetic of Witt vectors; Artin-Schreier extensions; maximal abelian extension; ramification 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) Stickelberger element; Galois module structure; Gras conjecture; Drinfeld modules; Herbrand criterion; crystalline cohomology; zeta-functions for function fields over finite fields; L-series; Teichmüller character; characteristic polynomial of the Frobenius; p-adic Tate-module; p-class groups; cyclotomic function fields; 1-unit root Goss, D., Sinnott, W.: Class-groups of function fields. Duke Math. J. 52(2), 507--516 (1985). http://www.ams.org/mathscinet-getitem?mr=792185 | 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 functions; distribution of zeros; \(L\)-functions; finite fields; automorphic \(L\)-functions; GUE measure; Montgomery-Odlyzko law; normalized spacings; Wigner measure; Kolmogoroff-Smirnov discrepancy function; generalized Sato-Tate conjecture; low-lying zeros; \(L\)-functions of elliptic curves; spacings of eigenvalues; Haar measure; Fredholm determinants; Deligne's equidistribution theorem; monodromy; Kloosterman sums N.M. Katz and P. Sarnak. \textit{Random matrices, Frobenius eigenvalues, and monodromy, vol. 45 of American Mathematical Society Colloquium Publications}. American Mathematical Society, Providence, RI (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) towers of function fields; genus; number of places [HST]F. Hess, H. Stichtenoth and S. Tutdere, On invariants of towers of function fields over finite fields, J. Algebra Appl. 12 (2013), no. 4, #1250190. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) function fields; integral moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; ratios conjecture | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) valued function fields; genus change; algebraic function field; reduction of constants; rigid analytic geometry; non-discrete valuation; defect; ramification index | 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 function field of a curve; complete discretely valued field; function ring of curves; existence of noncrossed product division algebras; function field of \(p\)-adic curve E. Brussel and E. Tengan, \textit{Formal constructions in the Brauer group of the function field of a p-adic curve}, Transactions of the American Mathematical Society, 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) Schur function; vanishing theorem; tensor powers of an ample vector bundle Laytimi F., Nahm W.: On a vanishing problem of Demailly. Int. Math. Res. Not. 47, 2877--2889 (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) generalized double affine Hecke algebras of rank 1; quantized del Pezzo surfaces Etingof, P.; Oblomkov, A.; Rains, E., \textit{generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces}, Adv. Math., 212, 749-796, (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) unramified class theory; reciprocity map; surfaces over local fields; Milnor \(K\)-groups; Chow groups; semistable reduction; deformation of degenerate hypersurfaces Sato K. (2005). Non-divisible cycles on surfaces over local fields. J. Number Theory 114(2): 272--297 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) polarized Abelian surfaces; arithmetic lifting; Lorentzian Kac-Moody algebras; Siegel modular forms; paramodular groups of genus 2; moduli space | 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 low dimensions; deformations of complex structures; analytic moduli problem; compact surfaces; removable singularities; fibres; local triviality; degeneracy loci; ruled surfaces; Hopf surfaces; Inoue 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) noncommutative matrices; strongly nilpotent matrices; Jacobian conjecture; tensor algebras DOI: 10.1080/03081089608818472 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Zariski dense rational points; \(K3\) surfaces; abelian fibrations; symmetric product of a \(K3\) surface; Abelian fibration Hassett B. and Tschinkel Yu. (2000). Abelian fibrations and rational points on symmetric products. Int. J. Math. 11: 1163--1176 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) flat deformations of associative algebras; Witt vectors; bivector fields; tangent vector fields; hamiltonian vector fields; Poisson algebras; Frobenius map Stewart, I; Vologodsky, V, On the center of the ring of differential operators on a smooth variety over \(\mathbb{Z}\)/\(p\)\^{}\{\(n\)\}\(\mathbb{Z}\), Compos. Math., 149, 63-80, (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) symmetric product orbifold of \(\mathcal{N} = 4\) SCFT; marginal deformations; twisted Ramond fields; correlation functions; anomalous dimensions | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) \(\mathbb A^1\)-homotopy; algebraic \(K\)-theory; Witt vectors; sheaf of dg algebras; dg orbit category; cluster category; du val singularities; noncommutative algebraic geometry Tabuada, Gonçalo, \(\mathbb{A}^1\)-homotopy invariance of algebraic \(K\)-theory with coefficients and du Val singularities, Ann. K-Theory, 2, 1, 1-25, (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) Teichmüller space; algebras of geodesic functions; Riemann surfaces with boundary; quantization; Darboux coordinates Chekhov, L.; Mazzocco, M., Colliding holes in Riemann surfaces and quantum cluster algebras, Nonlinearity, 31, 54, (2018) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) classification up to isomorphism; elementary equivalence; function fields over algebraically closed fields; function fields of curves; elliptic curves D. Pierce , Function fields and elementary equivalence . Bull. London Math. Soc. 31 ( 1999 ), 431 - 440 . MR 1687564 | Zbl 0959.03022 | 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 function fields; genus; geometry of numbers D. Kettlestrings and J.L. Thunder, The number of function fields with given genus, Contem. Math. 587 (2013), 141--149. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) geometric heights; section of surjective morphisms; Mordell conjecture over function fields Esnault, Hélène; Viehweg, Eckart, Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields, Compos. Math., 0010-437X, 76, 1-2, 69\textendash 85 pp., (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) noncommutative geometry; noncommutative deformation of scheme; noncommutative schemes; operator algebras; crossed products; 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) Aomoto-Gelfand hypergeometric function; period map; family of K3 surfaces K. Matsumoto, T. Sasaki and M. Yoshida: The period of a 4-parameter family of K3 surfaces and the Aomoto-GePfand hypergeometric function of type (3, 6). Proc. Japan Acad., 64A, 307-310 (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) infinitesimally faithful representations; reductive complex connected algebraic groups; Lie algebras; representation spaces; fields of rational functions; Cayley transforms; coordinate rings; regular orbits; varieties of unipotent elements Kostant, B.; Michor, P.; Christian, Duval, The generalized Cayley map from an algebraic group to its Lie algebra, \textit{Prog. Math.}, 213, 259-296, (2003), Birkhäuser, Boston, MA | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) parametrizable surfaces; tensor-product Bézier surfaces; geometric design; projective classes of bidegree (2, 1) parametrizable surfaces; real projective 3-space S. Zubė, Bidegree (2,1) parametrizable surfaces in projective 3-space, Liet. Mat. Rink. 38 (1998), no. 3, 379 -- 402 (English, with English and Lithuanian summaries); English transl., Lithuanian Math. J. 38 (1998), no. 3, 291 -- 308 (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) elliptic curves over global fields; arithmetic surfaces; zeta function; zeta integral; two-dimensional adelic spaces; harmonic analysis; Hasse zeta functions; analytic duality; boundary term; meromorphic continuation and functional equation; mean-periodic functions; Laplace; Carleman transform; generalized Riemann hypothesis; Birch and Swinnerton; Dyer conjecture; automorphic representations Fesenko, I.: Adelic approach to the zeta function of arithmetic schemes in dimension two. Moscow Math. J. \textbf{8}(2), 273-317 (2008) (http://www.maths.nottingham.ac.uk/personal/ibf/ada.pdf) | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) function fields; finite fields; hyperelliptic curves; lower bounds for moments; moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; random matrix theory Andrade, J. C.: Rudnick and soundararajan's theorem for function fields. Finite fields appl. 37, 311-327 (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) AG codes; towers of function fields; generalized Hamming weights; order bounds; Arf semigroups; inductive semigroups | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) multiplicative structure; skew fields over number fields; Hasse; norm principle; algebraic group; group of rational points; quadratic forms; Skolem-Noether theorem; algebra of quaternions; class field theory; direct subgroup; Spin(f); SL(1,D); trace Platonov V P and Rapinchuk A S, Proceedings of Steklov Institute of Math. 1985, Issue 3 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Fourier-Mukai partners; elliptic surfaces; elliptic fibrations; elliptic ruled surfaces; autoequivalences; group of autoequivalences Uehara, Hokuto, Fourier-Mukai partners of elliptic ruled surfaces, Proc. Amer. Math. Soc., 145, 8, 3221-3232, (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) graded skew Clifford algebras; graded Clifford algebras; Artin-Schelter regular algebras; noncommutative algebraic geometry; complete intersections; quadratic algebras Cassidy, T., Vancliff, M.: Generalizations of Graded Clifford algebras and of complete intersections. J. Lond. Math. Soc. \textbf{81}, 91-112 (2010). (Corrigendum: \textbf{90}(2), 631-636 (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) group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (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) Brauer groups; division algebras; central simple algebras; symbol algebras; cyclic algebras; cubic curves; ramification divisors; rational function fields [Fo] T. Ford,Division algebras that ramify only along a singular plane cubic curve, New York Journal of Mathematics1 (1995), 178--183, http://nyjm.albany.edu:8000/j/v1/ford.html. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Hasse-Weil bound; number of points; extension fields; exponential sums; function fields over 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) triangulations of Riemann surfaces; ramified coverings of Riemann surfaces; irreducible characters of the symmetric group Klyachko, A.; Kurtaran, E.: Some identities and asymptotics for characters of the symmetric group. J. algebra 206, 413-437 (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) 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 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Riemann surfaces; inhomogeneous Cauchy-Riemann equation with \(L^{2}\) estimates; holomorphic line bundle with positive curvature; subharmonic exhaustion function; divisor; uniformization theorem; biholomorphic classification of Riemann surfaces; Teichmüller theory T.~Napier, M.~Ramachandran: {\em An Introduction to Riemann Surfaces}, Springer (2011). DOI 10.1007/978-0-8176-4693-6; zbl 1237.30001; MR3014916 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) value sets; finite fields; polynomials; towers of function 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) ideals; Lie algebras of vector fields; derivation Lie algebras; affine varieties Siebert, T., Lie algebras of derivations and affine algebraic geometry over fields of characteristic 0, \textit{Math. Ann.}, 305, 271-286, (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) intersection multiplicity; Hilbert function; blow up; completed tensor product; integral closure of ideals; associated graded ring Skalit, C., Intersection multiplicity of Serre in the unramified case, J. Algebra, 428, 91-121, (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) singularities; analytic algebras; singularities of holomorphic vector fields and foliations Druel, S., The Zariski-lipman conjecture for log canonical spaces, Bull. Lond. Math. Soc., 46, 827-835, (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) involutions on Riemann surfaces; symmetric surfaces; automorphism groups; anticonformal automorphisms; conjugacy classes of symmetries; Klein surfaces Gromadzki, G., Izquierdo, M.: Real forms of a Riemann surface of even genus. Proc. Am. Math. Soc. 126(12), 3475--3479 (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) symbolic power; sum of ideals; associated prime; tensor product; binomial expansion; depth; Castelnuovo-Mumford regularity; tor-vanishing; depth 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) algebraic geometric codes; algebraic curves over finite fields; function fields; Goppa codes; complexity of multiplication in extension fields; divisors of curves of genus 1; weight distributions; minimal weight | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) orders of the Brauer groups; diagonal surfaces; finite fields; 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) cohomology; dualities; schematic algebras; graded algebras; Serre's theorem; categories of quasicoherent sheaves; categories of graded modules; noncommutative projective schemes; graded rings; cohomological behaviour; Auslander-Gorenstein 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) Hasse-Weil bound; maximal curve; geometric Goppa code; asymptotically good sequence; survey; number of rational points; curves over finite fields; towers of function fields van der Geer, G., Curves over finite fields and codes, (European congress of mathematics, vol. II, Barcelona, 2000, Prog. math., vol. 202, (2001), Birkhäuser Basel), 225-238 | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) class of a projective algebraic surface; classification of algebraic surfaces; projective characters; ruled surfaces A. Lanteri, On the class of a projective algebraic surface. Arch. Math., 45 (1985), 79--85. | 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 degenerations of minimal ruled 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) coverings of \(\mathbb{P}^ 1\); Galois groups; Hurwitz monodromy group; finite groups; Galois group of regular extension of \(\mathbb{Q}\); universal Frattini cover; rational point on varieties; regular realization problem on dihedral groups; real branch points; totally nonsplit extension; field of totally real numbers; fields of definition; inverse Galois problem; symmetric group; modular curves Dèbes, Pierre; Fried, Michael D., Nonrigid constructions in Galois theory, Pacific J. math., 163, 1, 81-122, (1994) | 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; sums of powers of linear polynomials; Waring problem; Waring rank; open Waring rank Jelisiejew, J.; An upper bound for the Waring rank of a form; Arch. Math.: 2014; Volume 102 ,329-336. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Picard modular surfaces; Shimura varieties; Fuchsian systems of partial differential equations; polarized abelian threefolds; polarized abelian variety; complex multiplication; number of cusps of a Picard surface; class number; CM fields B. Gordon, Canonical models of Picard modular surfaces, The zeta functions of Picard modular surfaces, Centre de Recherches Mathématiques, Université de Montréal, Montréal (1992), 1-29. | 0 |
noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) modular function \(j(\tau)\); singular moduli; prime factorization of the absolute norm; modular polynomial; arithmetic of maximal orders in quaternion algebras; geometry of supersingular elliptic curves; Fourier coefficients; Eisenstein series; Hilbert modular group; local heights; Heegner points Gross, B. H.; Zagier, D. B., \textit{on singular moduli}, J. Reine Angew. Math., 355, 191-220, (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) central points; model class of fields; valuation; function field Bröcker, L.; Schülting, H. W.: Valuation theory from the geometrical point of view. J. reine angew. Math. 365, 12-32 (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) 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 |
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; surfaces over number 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) conic bundle surfaces; Henselian fields; quaternion 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) curves over a finite field; curves with many points; graphs; towers of function fields; zeta functions ] Emmanuel Hallouin and Marc Perret, From Hodge index theorem to the number of points of curves over finite fields, arXiv:1409.2357v1, 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) actions of groups; linear algebra; topological groups; endomorphisms; Grassmannians; echelon matrices; groups preserving a bilinear form; quaternion fields; algebraic combinatorics; Lie groups; Platonic solids; topics from the projective plane; orthogonal groups; unitary groups; symplectic groups; Young tableaux; algebraic geometry; algebraic curves; surfaces configurations; special varieties; graphes; projective line; conics; representation theory; McKay correspondance Ph. Caldero, J. Germoni, \textit{Histoires Hédonistes de Groupes et de Géométries [Hedonistic Histories of Groups and Geometries].} Vol. 2, Calvage et Mounet, Paris, 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) existence of isometry-dual flags of codes; two-point algebraic geometry codes; isometry-dual property; two-point codes over function 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) function field; constant reduction; valuation prolongation; geometric family; Skolem property; principal family; birational characterization of arithmetic surfaces B. Green, Geometric families of constant reductions and the Skolem property, Trans. Amer. Math. Soc. 350 (1998), no. 4, 1379-1393. | 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 curves and algebraic surfaces; resolution of singularities; local rings; valuation theory; Cohen-Macaulay rings; differential modules; analytic algebras Kiyek, K.; Vicente, J. L., Resolution of curve and surface singularities in characteristic zero, (2004), Kluwer Dordrecht | 0 |
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