p-complete arc-descent for perfect complexes over integral perfectoid rings

2021/12/04 by Kazuhiro Ito, Ito, Kazuhiro · 1 citation
Mathematics · #14F20 #14G45 #14L05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Rings, Modules, and Algebras #math.AG #msc:14F20 #msc:14G45 #msc:14L05

paper · pdf · doi:10.48550/arxiv.2112.02443

15 pages, final version, to appear in Mathematical Research Letters

openalex publication_date 2021/12/04 · arxiv created 2022/06/18 · arxiv updated 2022/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove p-complete arc-descent results for finite projective modules and perfect complexes over integral perfectoid rings. Using our results, we clarify a reduction argument in the proof of the classification of p-divisible groups over integral perfectoid rings given by Scholze-Weinstein.

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