Equations differentielles p-adiques et (phi,N)-modules filtres
Abstract
The goal of this article is to show that the following two categories are equivalent (1) the category of filtered (phi,N,GK)-modules (2) the category of (phi,GammaK)-modules over the Robba ring such that the Lie algebra of GammaK acts locally trivially. Furthermore, we show that under this equivalence, the admissible filtered (phi,N,GK)-modules correspond to the etale (phi,GammaK)-modules, which gives a new proof of Colmez-Fontaine's theorem.
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