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arXiv · 2112.02443

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

Kazuhiro Ito
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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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Kazuhiro Ito. 2021-12-04. $p$-complete arc-descent for perfect complexes over integral perfectoid rings. https://arxiv.org/abs/2112.02443

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