A p-adic Shimura-Maass operator on Mumford curves
Number Theory
2020-11-11 v1
Abstract
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.
Cite
@article{arxiv.2011.05198,
title = {A p-adic Shimura-Maass operator on Mumford curves},
author = {Matteo Longo},
journal= {arXiv preprint arXiv:2011.05198},
year = {2020}
}