Classification of two-dimensional split trianguline representations of p-adic fields

By Kentaro Nakamura. Compositio Mathematica, 2008

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Abstract The aim of this article is to classify two-dimensional split trianguline representations of p-adic fields. This is a generalization of a result of Colmez who classified two-dimensional split trianguline representations of $\mathrm {Gal}(\bar {\mathbb {Q}}_p/\mathbb {Q}_p)$ for p≠2 by using (φ,Γ)-modules over a Robba ring. In this article, for any prime p and for any p-adic field K, we classify two-dimensional split trianguline representations of $\mathrm {Gal}(\bar {K}/K)$ using B-pairs as defined by Berger.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/bf373afe3c224e6e2448f3fc094b6ed8aded3145

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In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Cohomology of arithmetic families of (,Γ)-modules (2012, methodology): “This follows from Nakamura’s computation [39, §2.3], together with the comparison of cohomology.”