Filtered modules with coefficients

Ghate, Eknath; Mézard, Ariane

doi:10.1090/S0002-9947-08-04829-0

Filtered modules with coefficients
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by Eknath Ghate and Ariane Mézard PDF

Trans. Amer. Math. Soc. 361 (2009), 2243-2261 Request permission

Abstract:

We classify the filtered modules with coefficients corresponding to two-dimensional potentially semi-stable $p$-adic representations of the Galois group of $\mathbf {Q}_p$ under some assumptions (e.g., $p$ is odd). We focus on the new features that arise when the coefficients are not necessarily $\mathbf {Q}_p$.

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