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

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

2007-10-23

arxiv.org/abs/0710.4194v2

Mathematics

Algebraic Geometry

13 pages, minor corrections

Scientific paper

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-\'etale 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 $\mu$-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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