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arXiv · 0704.1083

B-pairs and (phi,Gamma)-modules

Laurent Berger
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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.

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Laurent Berger. 2007-08-26. B-pairs and (phi,Gamma)-modules. https://arxiv.org/abs/0704.1083

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