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arxiv: 1903.09968 · v1 · pith:KCN4Y3ZTnew · submitted 2019-03-24 · 🧮 math.NT · math.AG

Le cristal de Dieudonn\'e des sch\'emas en mathbb{F}-vectoriels

classification 🧮 math.NT math.AG
keywords mathbbvectordieudonndivisiblefinitemodulespointsschemes
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In this paper we describe the Dieudonn\'e crystal of a finite locally free group scheme with a vector action of a finite field $\mathbb{F}$. These $\mathbb{F}$-vector schemes appear when we consider torsion points of $p$-divisible modules. A particular class of $\mathbb{F}$-vector schemes has been classified by Raynaud in [Ray74], which allows us to determine the structure of torsion points of $p$-divisible modules, under certain conditions on the Lie algebra.

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