Overconvergence and classicality: the case of curves
Overconvergence and classicality: the case of curves
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过度收敛和经典性：曲线的情况
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
Payman L. Kassaei
中科院分区：
文献类型：
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作者：
Payman L. Kassaei
给出了一组抽象曲线和抽象曲线之间的映射满足一定的假设，证明了这些曲线上的线丛的超收敛截面的一个经典判据。作为结果，我们证明了各种Shimura曲线上模形式超收敛的判据。特别地，我们给出了[Ksaei，Compos.]中研究的超收敛模形式的经典判据。数学课。140：359-395,2004]及其更高级别的概括。
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.