On the supersingular loci of quaternionic Siegel space

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DOI:

https://doi.org/10.4067/S0719-06462014000300006

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 ∞ but split at p. The main result is that its irreducible components are Fermat surfaces of degree p + 1.

Keywords

supersingular abelian varieties , Shimura varieties , orthogonal groups
  • Oliver Bültel Mathematische Fakultät, Universität Duisburg-Essen, Thea-Leymann Strasse 9, 45127 Essen, Germany.
  • Pages: 67-85
  • Date Published: 2014-10-01
  • Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal

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Published

2014-10-01

How to Cite

[1]
O. Bültel, “On the supersingular loci of quaternionic Siegel space”, CUBO, vol. 16, no. 3, pp. 67–85, Oct. 2014.

Issue

Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal

Section

Articles