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].
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页码：139 / 175
页数：37
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