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Abstract: Given our set-up of a system of curves and maps between them satisfyingcertain assumptions, we prove a classicality criterion for overconvergentsections of line bundles over these curves. As a result, we prove such criteriafor overconvergent modular forms over various Shimura curves. In particular, weprovide a classicality criterion for overconvergent modular forms studied inKassaei: P-adic modular forms over Shimura curves over totally real fields,Compositio Math. 140 2004, no 2, 359-395 and their higher-levelgeneralizations.



Author: Payman L. Kassaei

Source: https://arxiv.org/







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