Displayed equations for Galois representations

Details Displayed equations for Galois representations Displayed equations for Galois representations

2010-12-20

arxiv.org/abs/1012.4436v2

Mathematics

Number Theory

15 pages

Scientific paper

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 Dieudonn\'e 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.

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