2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99960We 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 pagesNumber TheoryAlgebraic Geometry11G18;14G35text