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：

暂无

中图分类号：

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].

引用

页码：139 / 175

页数：36

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