Formes modulaires surconvergentes, ramification et classicité [Overconvergent modular forms, ramification and classicity]
File(s)AIF_2017__67_6_2463_0.pdf (859.48 KB)
Published version
Author(s)
Bijakowski, S
Type
Journal Article
Abstract
We prove in this paper a classicality result for overconvergent modular forms
on PEL Shimura varieties of type (A) or (C), without any ramification
hypothesis. We use an analytic continuation method, which generalizes previous
results on the non ramified setting. We work with the rational model of the
Shimura variety, and use an embedding into the Siegel variety to define the
integral structures on the rigid space.
on PEL Shimura varieties of type (A) or (C), without any ramification
hypothesis. We use an analytic continuation method, which generalizes previous
results on the non ramified setting. We work with the rational model of the
Shimura variety, and use an embedding into the Siegel variety to define the
integral structures on the rigid space.
Date Issued
2017-12-14
Date Acceptance
2017-03-15
Citation
Annales de l'Institut Fourier, 2017, 67 (6), pp.2463-2518
ISSN
1777-5310
Publisher
Association des Annales de l'Institut Fourier
Start Page
2463
End Page
2518
Journal / Book Title
Annales de l'Institut Fourier
Volume
67
Issue
6
Copyright Statement
© Association des Annales de l’institut Fourier, 2017, Certains droits réservés. Cet article est mis à disposition selon les termes de la licence CREATIVE COMMONS ATTRIBUTION – PAS DE MODIFICATION 3.0 FRANCE https://creativecommons.org/licenses/by-nd/3.0/fr/
Identifier
http://arxiv.org/abs/1504.07421v1
Subjects
math.NT
math.NT
Notes
42 pages. In french. arXiv admin note: text overlap with arXiv:1212.2035
Publication Status
Published
Date Publish Online
2017-12-14