Une correspondance de Jacquet-Langlands p-adique
G Chenevier - 2005 - projecteuclid.org
2005•projecteuclid.org
In this paper, we extend the Jacquet-Langlands correspondence between Hecke-modules
of usual modular forms 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.
of usual modular forms 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.
Abstract
In this paper, we extend the Jacquet-Langlands correspondence between Hecke-modules of usual modular forms 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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