Une correspondance de Jacquet-Langlands p-adique

Details Une correspondance de Jacquet-Langlands p-adique Une correspondance de Jacquet-Langlands p-adique

2003-01-05

arxiv.org/abs/math/0301032v1

Mathematics

Number Theory

LaTeX, 24 Pages, French

Scientific paper

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.

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