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DISPLAYED EQUATIONS FOR GALOIS REPRESENTATIONS

Part of: Algebraic groups (Co)homology theory

Published online by Cambridge University Press:  13 February 2018

EIKE LAU
EIKE LAU*
Affiliation:
Institut für Mathematik, Universität Paderborn, D-33098 Paderborn, Germany email [email protected]
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Abstract

The Galois representation associated to a $p$-divisible group over a normal complete noetherian local ring with perfect residue field is described in terms of its Dieudonné display. As a consequence, the Kisin module associated to a commutative finite flat $p$-group scheme via Dieudonné displays is related to its Galois representation in the expected way.

MSC classification

Primary: 14L05: Formal groups, $p$-divisible groups 14F30: $p$-adic cohomology, crystalline cohomology
Type
Article
Information
Nagoya Mathematical Journal , Volume 235 , September 2019 , pp. 86 - 114
Copyright
© 2018 Foundation Nagoya Mathematical Journal  

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