On the reduction of the Siegel moduli space of abelian varieties of dimension 3 with Iwahori level structure

Details On the reduction of the Siegel moduli space of abelian varieties of dimension 3 with Iwahori level structure On the reduction of the Siegel moduli space of abelian varieties of dimension 3 with Iwahori level structure

2009-11-30

arxiv.org/abs/0911.5661v1

Mathematics

Algebraic Geometry

Scientific paper

We study the moduli space of abelian threefolds with Iwahori level structure
in positive characteristic. We explicitly determine the fibers of the canonical
projection to the moduli space of principally polarized abelian varieties and
draw conclusions about the relationship between the Ekedahl-Oort, the
Kottwitz-Rapoport and the Newton stratification on these spaces.

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