A stacky approach to crystals
Algebraic Geometry
2024-12-24 v3 Number Theory
Abstract
Inspired by a theorem of Bhatt-Morrow-Scholze, we develop a stacky approach to crystals and isocrystals on "Frobenius-smooth" schemes over F_p . This class of schemes goes back to Berthelot-Messing and contains all smooth schemes over perfect fields of characteristic p. To treat isocrystals, we prove some descent theorems for sheaves of Banachian modules, which could be interesting in their own right.
Keywords
Cite
@article{arxiv.1810.11853,
title = {A stacky approach to crystals},
author = {Vladimir Drinfeld},
journal= {arXiv preprint arXiv:1810.11853},
year = {2024}
}
Comments
Corrected the formulation of Proposition 3.1.1. Wrote a proof of Lemma 2.1.1