Siegel modular forms mod p
Number Theory
2010-10-22 v1 Algebraic Geometry
Complex Variables
Abstract
We prove a vanishing theorem for one forms on the moduli stack of principally polarized abelian varieties of genus g>1 with level structure N over fields of characteristic p different from two. This is used to compute the Picard groups of these stacks. As an application we obtain results one congruences between integral Siegel modular forms.
Cite
@article{arxiv.0804.3134,
title = {Siegel modular forms mod p},
author = {Rainer Weissauer},
journal= {arXiv preprint arXiv:0804.3134},
year = {2010}
}