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A note on effective descent for overconvergent isocrystals
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Lazda, Christopher (2022) A note on effective descent for overconvergent isocrystals. Journal of Number Theory, 237 . pp. 395-410. doi:10.1016/j.jnt.2019.09.014
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Official URL: http://dx.doi.org/10.1016/j.jnt.2019.09.014
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 p, the Frobenius pull-back functor is an equivalence on the overconvergent category.
Item Type: | Journal Item | ||||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||
Journal or Publication Title: | Journal of Number Theory | ||||||||||
Publisher: | Elsevier | ||||||||||
ISSN: | 0022-314X | ||||||||||
Official Date: | August 2022 | ||||||||||
Dates: |
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Volume: | 237 | ||||||||||
Page Range: | pp. 395-410 | ||||||||||
DOI: | 10.1016/j.jnt.2019.09.014 | ||||||||||
Status: | Peer Reviewed | ||||||||||
Publication Status: | Published | ||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||
Copyright Holders: | Elsevier | ||||||||||
RIOXX Funder/Project Grant: |
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Open Access Version: |
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