A p-adic Maass-Shimura operator on Mumford curves

被引：0

作者：

Longo, Matteo ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, Italy

来源：

ANNALES MATHEMATIQUES DU QUEBEC | 2023年 / 47卷 / 01期

关键词：

p-adic uniformisation; Shimura curves; Maass-Shimura operators; ELLIPTIC-CURVES; HEEGNER CYCLES; MODULAR-FORMS; F-ISOCRYSTALS; COHOMOLOGY; SYSTEMS;

D O I：

10.1007/s40316-022-00193-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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：37

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