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The Gross-Zagier formula on singular moduli for Shimura curves

Published 15 Sep 2025 in math.NT and math.AG | (2509.11553v1)

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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