On the supersingular loci of quaternionic Siegel space
Author
Bültel, Oliver
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/118510.4067/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.