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Tate modules of universal p-divisible groups

Part of: Algebraic groups

Published online by Cambridge University Press:  23 November 2009

Eike Lau
Eike Lau*
Affiliation:
Fakultät für Mathematik, Universität Bielefeld, D-33501 Bielefeld, Germany (email: [email protected])
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Abstract

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A p-divisible group over a complete local domain determines a Galois representation on the Tate module of its generic fibre. We determine the image of this representation for the universal deformation in mixed characteristic of a bi-infinitesimal group and for the p-rank strata of the universal deformation in positive characteristic of an infinitesimal group. The method is a reduction to the known case of one-dimensional groups by a deformation argument based on properties of the stratification by Newton polygons.

Keywords

p-divisible groupslocal p-adic monodromyNewton stratificationdeformation theory

MSC classification

Secondary: 14L05: Formal groups, $p$-divisible groups
Type
Research Article
Information
Compositio Mathematica , Volume 146 , Issue 1 , January 2010 , pp. 220 - 232
Copyright
Copyright © Foundation Compositio Mathematica 2009

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