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  • The Gross-Zagier Formula on Shimura Curvesby Xinyi Yuan; Shou-wu Zhang; Wei Zhang

    Princeton University Press 2012; US$ 75.00

    This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and Diophantine equations. The book begins with a conceptual formulation... more...

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