A note on effective descent for overconvergent isocrystals
arXiv:1706.05300
Abstract
In this short note we explain the proof that proper surjective and faithfully flat maps are morphisms of effective descent for overconvergent isocrystals. We then show how to deduce the folklore theorem that for an arbitrary variety over a perfect field of characteristic , the Frobenius pull-back functor is an equivalence on the overconvergent category.
11 pages, comments welcome. Updated to include a reference to the proper case handled by Shiho