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arXiv · 0809.0402

Supersingular representations of GL_2(Q_p) and (phi,Gamma)-modules

Laurent Berger
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Abstract

The purpose of this note is to give a direct proof of the fact that if one applies Colmez' functor to a two dimensional irreducible F_p^bar-representation of Gal(Q_p^bar/Q_p), one gets the restriction to the Borel subgroup of GL_2(Q_p) of a supersingular representation.

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Laurent Berger. 2008-09-02. Supersingular representations of GL_2(Q_p) and (phi,Gamma)-modules. https://arxiv.org/abs/0809.0402

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