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The Gross-Zagier Formula on Shimura Curves

Zhang, Shou-wu Yuan, Xinyi Zhang, Wei

Annals of Mathematics Studies

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Offers a comprehensive account of the Gross-Zagier formula on Shimura curves over real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. This title begins with a conceptual formulation of the Gross-Zagier formula in terms of incoherent quaternion algebras and incoherent automorphic representations.

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