Une correspondance de Jacquet-Langlands p-adique
Number Theory
2007-05-23 v1 Representation Theory
Abstract
We extend the Jacquet-Langlands'correspondence between the Hecke-modules of usual and quaternionic modular forms, to overconvergent p-adic forms of finite slope. We show that this correspondence respects p-adic families and is induced by an isomorphism between some associated eigencurves.
Cite
@article{arxiv.math/0301032,
title = {Une correspondance de Jacquet-Langlands p-adique},
author = {Gaetan Chenevier},
journal= {arXiv preprint arXiv:math/0301032},
year = {2007}
}
Comments
LaTeX, 24 Pages, French