Darmon's points and quaternionic Shimura varieties
Number Theory
2011-04-19 v1
Abstract
In this paper, we generalize a conjecture due to Darmon and Logan in an adelic setting. We study the relation between our construction and Kudla's works on cycles on orthogonal Shimura varieties. This relation allows us to conjecture a Gross-Kohnen-Zagier theorem for Darmon's points.
Keywords
Cite
@article{arxiv.1104.3338,
title = {Darmon's points and quaternionic Shimura varieties},
author = {Jerome Gartner},
journal= {arXiv preprint arXiv:1104.3338},
year = {2011}
}
Comments
30 pages