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A stacky approach to crystals

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arxiv 1810.11853 v3 pith:BURUB4VZ submitted 2018-10-28 math.AG math.NT

Vladimir Drinfeld This is my paper · ORCID
classification math.AGmath.NT
keywords schemesapproachcrystalsisocrystalsstackybackbanachianberthelot-messing
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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.

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Cited by 1 Pith paper

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  1. Some applications of the Nygaard filtration and quasisyntomic descent in positive characteristic

    math.AG 2025-07 accept novelty 4.0 of 10

    A mostly expository article that re-proves known p-adic comparison theorems with elementary tools and adds a new corollary about multiplication by n on fppf cohomology of abelian varieties.

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