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arXiv · 2002.09379

A Note on Dieudonné Theory over Perfectoid Rings

T. Henkel
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Abstract

For a perfectoid ring $R$ and a natural number $n$ we investigate the essential image of the category of truncated by $n$ Barsotti-Tate groups under the anti-equivalence between commutative, finite, locally free, $R$-group schemes of $p$-power order and torsion Breuil-Kisin-Fargues modules over $R$. We describe the associated semi-liner algebra data and show as a consequence that every $\text{BT}_n$-group over $R$ is the $p^n$-torsion of some $\text{BT}$-group.

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T. Henkel. 2020-02-21. A Note on Dieudonné Theory over Perfectoid Rings. https://arxiv.org/abs/2002.09379

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