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