B-pairs and (phi,Gamma)-modules
Number Theory
2010-02-22 v2 Algebraic Geometry
Abstract
Main change from v1 : theorem C has been modified, see remark 3.1.7 (2). We study the category of B-pairs (W_e,W_dR^+) where W_e is a free B_cris^{phi=1}-module with a semilinear and continuous action of G_K and where W_dR^+ is a G_K-stable B_dR^+ -lattice in B_dR \otimes W_e. This category contains the category of p-adic representations and is naturally equivalent to the category of all (phi,Gamma)-modules over the Robba ring.
Keywords
Cite
@article{arxiv.0704.1083,
title = {B-pairs and (phi,Gamma)-modules},
author = {Laurent Berger},
journal= {arXiv preprint arXiv:0704.1083},
year = {2010}
}
Comments
31 pages; French