A note on effective descent for overconvergent isocrystals

JOURNAL OF NUMBER THEORY

卷:237

Article

Lazda, Christopher¹ 

[1] Univ Warwick, Math Inst, Zeeman Bldg, Coventry CV4 7AL, W Midlands, England

关键词: Overconvergent isocrystals;    Flat descent;    p-adic cohomology;   

DOI  :  10.1016/j.jnt.2019.09.014

来源: Elsevier

【 摘 要 】

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 p, the Frobenius pull-back functor is an equivalence on the overconvergent category. (c) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free