Witt differentials in the h-topology

Abstract

For sheaves of differential forms of the de Rham–Witt complex for regular varieties over a perfect field of positive characteristic p we prove unconditional descent in cohomological dimension 0 with respect to Voevodsky's h-topology. Under resolution of singularities we obtain full cohomological descent. Our approach follows recent work of Huber–Jörder and Huber–Kebekus–Kelly on sheaves of differential forms.