The Hilbert scheme of points for supersingular abelian surfaces
The Hilbert scheme of points for supersingular abelian surfaces
We study the geometry of Hilbert schemes of points on abelian surfaces and Beauville's generalized Kummer varieties in positive characteristics. The main result is that, in characteristic two, the addition map from the Hilbert scheme of two points to the abelian surface is a quasifibration such that all fibers are …