Irreducibility of the Siegel moduli spaces with parahoric level structure

Chia-Fu Yu

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 ch…