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

Published online by Cambridge University Press:  01 July 2009

Kentaro Nakamura*
Affiliation:
Department of Mathematical Sciences, University of Tokyo, 153-8914, Tokyo, Japan (email: [email protected])
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Abstract

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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 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 using B-pairs as defined by Berger.

Type
Research Article
Copyright
Copyright © Foundation Compositio Mathematica 2009

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