A p-adic Maass–Shimura operator on Mumford curves

被引：0
作者：
Matteo Longo
机构：
[1] Università degli Studi di Padova,Dipartimento di Matematica Tullio Levi
来源：
Annales mathématiques du Québec | 2023年 / 47卷
关键词：
-adic uniformisation; Shimura curves; Maass–Shimura operators; 11F03; 14F40; 11R52;
D O I：
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学科分类号：
摘要：
We study a p-adic Maass–Shimura operator in the context of Mumford curves defined by [15]. We prove that this operator arises from a splitting of the Hodge filtration, thus answering a question in [15]. We also study the relation of this operator with generalized Heegner cycles, in the spirit of [1, 4, 19, 28].
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页码：139 / 175
页数：36
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