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arXiv · 2509.11553

The Gross-Zagier formula on singular moduli for Shimura curves

Andrew Phillips
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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.

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Andrew Phillips. 2025-09-15. The Gross-Zagier formula on singular moduli for Shimura curves. https://arxiv.org/abs/2509.11553

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