Dieudonn\'e theory over semiperfect rings and perfectoid rings
Algebraic Geometry
2019-02-20 v2 Number Theory
Abstract
The Dieudonn\'e crystal of a p-divisible group over a semiperfect ring R can be endowed with a window structure. If R satisfies a boundedness condition, this construction gives an equivalence of categories. As an application one obtains a classification of p-divisible groups and commutative finite locally free p-group schemes over perfectoid rings by Breuil-Kisin-Fargues modules if p>2.
Keywords
Cite
@article{arxiv.1603.07831,
title = {Dieudonn\'e theory over semiperfect rings and perfectoid rings},
author = {Eike Lau},
journal= {arXiv preprint arXiv:1603.07831},
year = {2019}
}
Comments
31 pages, sections 8-10 rewritten, title changed