Equations differentielles p-adiques et (phi,N)-modules filtres
Number Theory
2010-02-22 v1 Algebraic Geometry
Abstract
The goal of this article is to show that the following two categories are equivalent (1) the category of filtered (phi,N,G_K)-modules (2) the category of (phi,Gamma_K)-modules over the Robba ring such that the Lie algebra of Gamma_K acts locally trivially. Furthermore, we show that under this equivalence, the admissible filtered (phi,N,G_K)-modules correspond to the etale (phi,Gamma_K)-modules, which gives a new proof of Colmez-Fontaine's theorem.
Cite
@article{arxiv.math/0406601,
title = {Equations differentielles p-adiques et (phi,N)-modules filtres},
author = {Laurent Berger},
journal= {arXiv preprint arXiv:math/0406601},
year = {2010}
}
Comments
28 pages, in french