2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61936We study the relation between the $p$-rank of abelian varieties in characteristic $p$ and the Kottwitz-Rapoport's stratification of the special fiber modulo $p$ of the moduli space of principally polarized abelian varieties with Iwahori type level structure on $p$. In particular, the density of the ordinary locus in that special fiber is proved.in frenchAlgebraic GeometryGroup Theorytext