The Gross-Zagier formula on singular moduli for Shimura curves
Number Theory
2025-09-16 v1 Algebraic Geometry
Abstract
The Gross-Zagier formula on singular moduli can be seen as a calculation of the intersection multiplicity of two CM divisors on the integral model of a modular curve. We prove a generalization of this result to a Shimura curve.
Cite
@article{arxiv.2509.11553,
title = {The Gross-Zagier formula on singular moduli for Shimura curves},
author = {Andrew Phillips},
journal= {arXiv preprint arXiv:2509.11553},
year = {2025}
}
Comments
33 pages; comments welcome