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Classification of two-dimensional split trianguline representations of p-adic fields
- Part of
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- Journal:
- Compositio Mathematica / Volume 145 / Issue 4 / July 2009
- Published online by Cambridge University Press:
- 01 July 2009, pp. 865-914
- Print publication:
- July 2009
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- Article
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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.
for 
using Presque Cp-représentations et (ϕ,Γ)-modules
- Part of
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- Journal:
- Journal of the Institute of Mathematics of Jussieu / Volume 8 / Issue 4 / October 2009
- Published online by Cambridge University Press:
- 30 January 2009, pp. 653-668
- Print publication:
- October 2009
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