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- W4287868196 abstract "We prove that if $G$ is a finite flat group scheme of $p$ power rank over a perfect field of characteristic $p$, then the second crystalline cohomology of its classifying stack $H^2_{crys}(BG)$ recovers the Dieudonn'e module of $G$. We also provide a calculation of crystalline cohomology of classifying stack of abelian varieties. We use this to prove that crystalline cohomology of the classifying stack of a $p$-divisible group is a symmetric algebra (in degree $2$) on its Dieudonn'e module. We also prove mixed characteristic analogues of some of these results using prismatic cohomology." @default.
- W4287868196 created "2022-07-26" @default.
- W4287868196 creator A5080471090 @default.
- W4287868196 date "2020-02-13" @default.
- W4287868196 modified "2023-09-26" @default.
- W4287868196 title "Dieudonn'e Theory via Cohomology of Classifying Stacks" @default.
- W4287868196 doi "https://doi.org/10.48550/arxiv.2002.05413" @default.
- W4287868196 hasPublicationYear "2020" @default.
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