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.
@article{1185, title = {On the supersingular loci of quaternionic Siegel space}, journal = {CUBO, A Mathematical Journal}, volume = {16}, year = {2014}, language = {en}, url = {http://dml.mathdoc.fr/item/1185} }
Bültel, Oliver. On the supersingular loci of quaternionic Siegel space. CUBO, A Mathematical Journal, Tome 16 (2014) 19 p. http://gdmltest.u-ga.fr/item/1185/