Tate modules of universal p-divisible groups

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 defo...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2008-03
Main Author: Lau, Eike
Format: Article
Language:English
Subjects:
Deformation
Modules
Representations
Stratification
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0803.1390