$p$-complete arc-descent for perfect complexes over integral perfectoid rings
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2021
- DOI:
- 10.48550/arXiv.2112.02443
- arXiv:
- arXiv:2112.02443
- Bibcode:
- 2021arXiv211202443I
- Keywords:
-
- Mathematics - Algebraic Geometry;
- 14G45;
- 14F20;
- 14L05
- E-Print:
- 15 pages, final version, to appear in Mathematical Research Letters