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

Abstract

In this article, we apply the methods of our work on Fontaine's theory in equal characteristics to the $\phi /\mathfrak{S}$-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.

References in corpus (1)

• Repr{é}sentations p-adiques et {é}quations diff{é}rentielles

Cited by in corpus (1)

• The universal family of semi-stable p-adic Galois representations