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arXiv · 0804.3134

Siegel modular forms mod p

Rainer Weissauer
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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.

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Rainer Weissauer. 2008-04-19. Siegel modular forms mod p. https://arxiv.org/abs/0804.3134

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