Classicité de formes modulaires surconvergentes

Abstract

We prove in this paper a classicality result for overconvergent modular forms on PEL Shimura varieties of type (A) or (C) associated to an unramified reductive group on ${\mathbb{Q}}_p$. To get this result, we use the analytic continuation method, first used by Buzzard and Kassaei.

In French. Redaction improved, added the case of an unitary group at p