Overconvergence and Classicality: the Case of Curves

  • PAYMAN L KASSAEI
  • Published 2008

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… (More)

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