Work

Darmon's points and quaternionic Shimura varieties

Year: 2011

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1104.3338

Author: Gartner, Jerome

Institution: Institut de Mathématiques de Jussieu-Paris Rive Gauche

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2010425553

Cites: 14

Cited by: 1

Related to: 10