Irreducibility of the Siegel moduli spaces with parahoric level structure
Abstract
Description
We prove that the moduli space ${\mathcal A}_{g,Γ_0(p)}\otimes \bar {\mathbb F}_p$ of principally polarized abelian varieties of dimension $g$ with a $Γ_0(p)$-level structure in characteristic $p$ has $2^g$ irreducible components.The cases of other parahoric level structures are also considered.
4 pages
4 pages