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W4205801668 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.
W4205801668 created "2022-01-25" @default.
W4205801668 creator A5080471090 @default.
W4205801668 date "2021-01-01" @default.
W4205801668 modified "2023-09-26" @default.
W4205801668 title "Dieudonné theory via cohomology of classifying stacks" @default.
W4205801668 doi "https://doi.org/10.1017/fms.2021.77" @default.
W4205801668 hasPublicationYear "2021" @default.
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