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arXiv · 0710.4194

On the Hodge-Newton filtration for p-divisible O-modules

Elena Mantovan·Eva Viehmann
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Abstract

The notions Hodge-Newton decomposition and Hodge-Newton filtration for F-crystals are due to Katz and generalize Messing's result on the existence of the local-étale filtration for p-divisible groups. Recently, some of Katz's classical results have been generalized by Kottwitz to the context of F-crystals with additional structures and by Moonen to $μ$-ordinary p-divisible groups. In this paper, we discuss further generalizations to the situation of crystals in characteristic p and of p-divisible groups with additional structure by endomorphisms.

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Elena Mantovan, Eva Viehmann. 2007-11-27. On the Hodge-Newton filtration for p-divisible O-modules. https://arxiv.org/abs/0710.4194

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