The Gross-zagier Formula on Singular Moduli for Shimura Curves
نویسنده
چکیده
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.
منابع مشابه
Gross–Zagier formula and arithmetic fundamental lemma
The recent work [YZZ] completes a general Gross–Zagier formula for Shimura curves. Meanwhile an arithmetic version of Gan–Gross–Prasad conjecture proposes a vast generalization to higher dimensional Shimura varieties. We will discuss the arithmetic fundamental lemma arising from the author’s approach using relative trace formulae to this conjecture.
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