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

2005/07/08 by Torsten Wedhorn, Wedhorn, Torsten
Mathematics · #11G15 #14G35 #14K10 #14L05 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG #msc:11G15 #msc:14G35 #msc:14K10 #msc:14L05

paper · pdf · doi:10.48550/arxiv.math/0507177

18 pages

arxiv created 2005/07/08 · openalex publication_date 2005/07/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 \citeMW.

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