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arXiv · 1603.07831

Dieudonné theory over semiperfect rings and perfectoid rings

Eike Lau
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Abstract

The Dieudonné 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.

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Eike Lau. 2016-09-26. Dieudonné theory over semiperfect rings and perfectoid rings. https://doi.org/10.1112/s0010437x18007352

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