Irreducibility of the Siegel moduli spaces with parahoric level structure

Details Irreducibility of the Siegel moduli spaces with parahoric level structure Irreducibility of the Siegel moduli spaces with parahoric level structure

2004-02-23

arxiv.org/abs/math/0402375v3

Mathematics

Number Theory

4 pages

Scientific paper

We prove that the moduli space ${\mathcal A}_{g,\Gamma_0(p)}\otimes \bar
{\mathbb F}_p$ of principally polarized abelian varieties of dimension $g$ with
a $\Gamma_0(p)$-level structure in characteristic $p$ has $2^g$ irreducible
components.The cases of other parahoric level structures are also considered.

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