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Can someone explain (or give a reference) why the Galois representation attached to a p-divisible group over the ring of integers of a p-adic ring is Crystalline?

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up vote 8 down vote accepted

This is shown in §6 of Fontaine's paper "Sur certains types de représentations p-adiques du groupe de Galois d'un corps local; construction d'un anneau de Barsotti-Tate", see the point i) after Theorem 6.2.

The paper is available on jstor: http://www.jstor.org/pss/2007012

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Thank you Philipp! –  hadimath Jun 30 '11 at 7:27
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