Flatness of the mod $p$ period morphism for the moduli space of principally polarized abelian varieties

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75726In this note it is shown that associating to a principally polarized abelian variety its de Rham cohomology defines a faithfully flat morphism of the moduli space of principally polarized abelian varieties in positive characteristics to the moduli space of symplectic $F$-Zips as defined in \cite{MW}.18 pagesAlgebraic Geometry14G35; 14K10; 11G15; 14L05Flatness of the mod $p$ period morphism for the moduli space of principally polarized abelian varietiestext