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arXiv · 1209.3548

On the supersingular loci of quaternionic Siegel space

Oliver Bueltel
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Abstract

The paper studies the supersingular locus of the characteristic p moduli space of principally polarized abelian 8-folds that are equipped with an action of a maximal order in a quaternion algebra, that is non-split at the infinite place, but split at p. The main result is that its irreducible components are Fermat surfaces of degree p+1.

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Oliver Bueltel. 2012-09-17. On the supersingular loci of quaternionic Siegel space. https://arxiv.org/abs/1209.3548

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