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Overconvergence and classicality: the case of curves
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Payman L. Kassaei
Published/Copyright:
March 31, 2009
Abstract
Given our set-up of a system of abstract 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, Compos. Math. 140: 359–395, 2004] and their higher-level generalizations.
Received: 2007-08-06
Revised: 2008-02-11
Published Online: 2009-03-31
Published in Print: 2009-June
© Walter de Gruyter Berlin · New York 2009
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Articles in the same Issue
- L-functions of symmetric powers of cubic exponential sums
- Localization in quiver moduli
- Kolyvagin systems of Stark units
- Overconvergence and classicality: the case of curves
- Partial sums of the Möbius function
- Gram determinants and semisimplicity criteria for Birman-Wenzl algebras
- Degeneration of the strange duality map for symplectic bundles
- Fubini's theorem in codimension two
Articles in the same Issue
- L-functions of symmetric powers of cubic exponential sums
- Localization in quiver moduli
- Kolyvagin systems of Stark units
- Overconvergence and classicality: the case of curves
- Partial sums of the Möbius function
- Gram determinants and semisimplicity criteria for Birman-Wenzl algebras
- Degeneration of the strange duality map for symplectic bundles
- Fubini's theorem in codimension two
