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

Dousmanis, Gerasimos

doi:10.1090/S0002-9947-10-05100-7

Rank two filtered $(\varphi ,N)$-modules with Galois descent data and coefficients
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by Gerasimos Dousmanis

Trans. Amer. Math. Soc. 362 (2010), 3883-3910

DOI: https://doi.org/10.1090/S0002-9947-10-05100-7

Published electronically: February 17, 2010

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Abstract:

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

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