Siegel modular forms mod p

Details Siegel modular forms mod p Siegel modular forms mod p

2008-04-19

arxiv.org/abs/0804.3134v1

Mathematics

Number Theory

Scientific paper

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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