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arXiv · 1608.06176

Invariants de Hasse $\mu$-ordinaires

Valentin Hernandez
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Abstract

In this article, we construct in a purely local way partial (Hasse) invariants for $p$-divisible groups with given endomorphisms, using crystalline cohomology. Theses invariants generalises the classical Hasse invariant, and allow us to study families of such groups. We also study a few geometric properties of theses invariants. Used in the context of Shimura varieties, for example, theses invariants are detecting some Newton strata, including the $\mu$-ordinary locus.

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Valentin Hernandez. 2016-08-22. Invariants de Hasse $\mu$-ordinaires. https://arxiv.org/abs/1608.06176

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