The Gross-Zagier formula on singular moduli for Shimura curves
Published: Sep 15, 2025
Last Updated: Sep 15, 2025
Authors:Andrew Phillips
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.