Displayed equations for Galois representations

The Galois representation associated to a p-divisible group over a complete noetherian normal local ring with perfect residue field is described in terms of its Dieudonné display. As a corollary we deduce in arbitrary characteristic Kisin's description of the Galois representation associated to...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2012-08
Main Author: Lau, Eike
Format: Article
Language:English
Subjects:
Group theory
Representations
Rings (mathematics)
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The Galois representation associated to a p-divisible group over a complete noetherian normal local ring with perfect residue field is described in terms of its Dieudonné display. As a corollary we deduce in arbitrary characteristic Kisin's description of the Galois representation associated to a commutative finite flat p-group scheme over a p-adic discrete valuation ring in terms of its Breuil-Kisin module. This was obtained earlier by W. Kim by a different method.
ISSN:2331-8422
DOI:10.48550/arxiv.1012.4436