B-pairs and (phi,Gamma)-modules

Details B-pairs and (phi,Gamma)-modules B-pairs and (phi,Gamma)-modules

2007-04-09

arxiv.org/abs/0704.1083v2

Algebra & Number Theory 2 (2008), no. 1, 91--120.

Mathematics

Number Theory

31 pages; French

Scientific paper

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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