Overconvergence and classicality: the case of curves

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dc.creatorKassaei, Payman L.
dc.date2007-08-07
dc.date2008-02-11
dc.date.accessioned2026-07-07T09:19:29Z
dc.date.available2026-07-07T09:19:29Z
dc.descriptionGiven our set-up of a system of curves and maps between them satisfying certain assumptions, we prove a classicality criterion for overconvergent sections of line bundles over these curves. As a result, we prove such criteria for overconvergent modular forms over various Shimura curves. In particular, we provide a classicality criterion for overconvergent modular forms studied in [Kassaei: P-adic modular forms over Shimura curves over totally real fields, Compositio Math. 140 (2004), no 2, 359-395] and their higher-level generalizations.
dc.identifierhttps://arxiv.org/abs/0708.0962
dc.identifierhttp://arxiv.org/abs/0708.0962
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154408
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.titleOverconvergence and classicality: the case of curves
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