$p$-complete arc-descent for perfect complexes over integral perfectoid rings
Algebraic Geometry
2022-06-22 v2
Abstract
We prove -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 -divisible groups over integral perfectoid rings given by Scholze-Weinstein.
Cite
@article{arxiv.2112.02443,
title = {$p$-complete arc-descent for perfect complexes over integral perfectoid rings},
author = {Kazuhiro Ito},
journal= {arXiv preprint arXiv:2112.02443},
year = {2022}
}
Comments
15 pages, final version, to appear in Mathematical Research Letters