B-pairs and (phi,Gamma)-modules
Abstract
Main change from v1 : theorem C has been modified, see remark 3.1.7 (2). We study the category of B-pairs (We,WdR+) where We is a free Bcrisphi=1-module with a semilinear and continuous action of GK and where WdR+ is a GK-stable BdR+ -lattice in BdR We. 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.
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