Mathematische Zeitschrift

, Volume 266, Issue 1, pp 193–205 | Cite as

On the Hodge–Newton filtration for p-divisible \({\mathcal{O}}\) -modules

  • Elena Mantovan
  • Eva ViehmannEmail author


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.


Modulus Space Galois Group Additional Structure Valuation Ring Geometric Point 
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© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Department of MathematicsCaltechPasadenaUSA
  2. 2.Mathematisches InstitutUniversität BonnBonnGermany

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