论文标题
Mumford曲线上的P-Adic Shimura-Maass操作员
A p-adic Shimura-Maass operator on Mumford curves
论文作者
论文摘要
我们在C. Franc定义的Mumford Curves的背景下研究了P-Adic Shimura-Maass操作员是他的博士学位。论文。我们证明，该操作员源于霍奇过滤的分裂，从而回答了弗朗西的问题。我们还本着Bertolini-Darmon-Prasanna和Brooks的精神研究了该操作员与普遍的Heegner Cycles的关系。
We study a p-adic Shimura-Maass operator in the context of Mumford curves defined by C. Franc is his Ph.D. Thesis. We prove that this operator arises from a splitting of the Hodge filtration, thus answering a question in Franc. We also study the relation of this operator with generalized Heegner cycles, in the spirit of Bertolini-Darmon-Prasanna and Brooks.
