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

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

2005-07-08

arxiv.org/abs/math/0507177v1

Mathematics

Algebraic Geometry

18 pages

Scientific paper

In 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}.

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