On ordinary Enriques surfaces in positive characteristic

Abstract

We give a notion of ordinary Enriques surfaces and their canonical lifts in any positive characteristic, and we prove Torelli-type results for this class of Enriques surfaces.

The moduli space of marked supersingular Enriques surfaces

“…Now we turn to characteristic p > 2. For Enriques surfaces that are quotients of ordinary K3 surfaces over perfect fields of positive characteristic, that is K3 surfaces X with h(X) = 1, Laface and Tirabassi recently proved a Torelli theorem [LT19].…”