Rank two filtered $(φ, N)$-modules with Galois descent data and coefficients

Details Rank two filtered $(φ, N)$-modules with Galois descent data and coefficients Rank two filtered $(φ, N)$-modules with Galois descent data and coefficients

2007-11-14

arxiv.org/abs/0711.2137v3

Mathematics

Number Theory

Final version. To appear in Trans. A.M.S

Scientific paper

Let $K$ be any finite extension of $Q_{p}$, $L$ any finite Galois extension
of $K$ and $E$ any finite large enough coefficient field containing $L$. We
classify two-dimensional, F-semistable $E$-representations of $G_{K}$, by
listing the isomorphism classes of rank two weakly admissible filtered
$(\phi,N,L/K,E)$-modules.

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