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

Gerasimos Dousmanis

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

Number Theory 2009-05-19 v3

Authors: Gerasimos Dousmanis

Abstract

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.

Keywords

galois representations galois theory representation theory of groups

Cite

@article{arxiv.0711.2137,
  title  = {Rank two filtered $(\phi, N)$-modules with Galois descent data and coefficients},
  author = {Gerasimos Dousmanis},
  journal= {arXiv preprint arXiv:0711.2137},
  year   = {2009}
}

Comments

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

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