Structures de Hodge-Pink pour les $\varphi/\mathfrak S$-modules de Breuil et Kisin

Details Structures de Hodge-Pink pour les $\varphi/\mathfrak S$-modules de Breuil et Kisin Structures de Hodge-Pink pour les $\varphi/\mathfrak S$-modules de Breuil et Kisin

2012-02-29

arxiv.org/abs/1202.6571v1

Mathematics

Number Theory

Scientific paper

In this article, we apply the methods of our work on Fontaine's theory in
equal characteristics to the $\varphi/\mathfrak S$-modules of Breuil and Kisin.
Thanks to a previous article of Kisin, this yields a new and rather elementary
proof of the theorem "weakly admissible implies admissible" of Colmez-Fontaine.

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