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

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

2008-09-02

arxiv.org/abs/0809.0402v1

Mathematics

Number Theory

Scientific paper

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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