A p-adic family of dihedral (phi,Gamma)-modules

Abstract : The goal of this article is to construct explicitly a p-adic family of representations (which are dihedral representations), to construct their associated (phi,Gamma)-modules by writing down explicit matrices for phi and for the action of Gamma, and finally to determine which of these are trianguline.
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https://hal.archives-ouvertes.fr/hal-00605401
Contributor : Laurent Berger <>
Submitted on : Friday, July 1, 2011 - 1:42:55 PM
Last modification on : Thursday, January 11, 2018 - 6:12:31 AM

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  • HAL Id : hal-00605401, version 1
  • ARXIV : 0903.2183

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Laurent Berger. A p-adic family of dihedral (phi,Gamma)-modules. International Journal of Number Theory, World Scientific Publishing, 2011, 7 (7), pp.1825--1834. 〈hal-00605401〉

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