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arXiv · 1202.6571

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

Alain Genestier·Vincent Lafforgue
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Abstract

In this article, we apply the methods of our work on Fontaine's theory in equal characteristics to the $φ/\mathfrak S$-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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Alain Genestier, Vincent Lafforgue. 2012-02-29. Structures de Hodge-Pink pour les $φ/\mathfrak S$-modules de Breuil et Kisin. https://doi.org/10.1112/s0010437x11007238

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