-
作者:BESSON, G; COURTOIS, G; GALLOT, S
作者单位:Ecole Normale Superieure de Lyon (ENS de LYON); Institut Polytechnique de Paris; Ecole Polytechnique; Centre National de la Recherche Scientifique (CNRS)
-
作者:RADULESCU, F
作者单位:University of Bucharest; Romanian Academy; Institute of Mathematics of the Romanian Academy
-
作者:MIKHALKIN, G
作者单位:Russian Academy of Sciences; Steklov Mathematical Institute of the Russian Academy of Sciences; St. Petersburg Department of the Steklov Mathematical Institute of the Russian Academy of Sciences
摘要:The subject of this paper is the problem of topological arrangement of real algebraic curves on real algebraic surfaces. In this paper I extend Rokhlin, Kharlamov-Gudkov-Krakhnov and Kharlamov-Marin congruences and give some applications of this extension. Among these applications there are new restrictions for topological arrangement of real algebraic curves of a given degree on hyperboloid and ellipsoid, new restrictions for complex orientations of curves on a hyperboloid and the topological...
-
作者:VOICULESCU, D
-
作者:HARRIS, M; ZUCKER, S
作者单位:Johns Hopkins University
-
作者:BUSER, P; SARNAK, P
作者单位:Princeton University
摘要:Riemann showed that a period matrix of a compact Riemann surface of genus g greater-than-or-equal-to 1 satisfies certain relations. We give a further simple combinatorial property, related to the length of the shortest non-zero lattice vector, satisfied by such a period matrix, see (1.13). In particular, it is shown that for large genus the entire locus of Jacobians lies in a very small neighborhood of the boundary of the space of principally polarized abelian varieties. We apply this to the p...
-
作者:FINTUSHEL, R; STERN, RJ
作者单位:University of California System; University of California Irvine
-
作者:BERTRAM, A
-
作者:ALBOUY, A
-
作者:KENYON, R