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The Gross-Zagier Formula on Shimura Curves

By Xinyi Yuan, Shou-Wu Zhang, Wei Zhang
eBook
$115.00
By Xinyi Yuan, Shou-Wu Zhang, Wei Zhang
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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 of the Gross-Zagier formula in terms of incoherent quaternion algebras and incoherent automorphic representations with rational coefficients attached...

Categories

Science & TechnologyMathematicsGeometryArithmeticGeometry - AlgebraicNumber Theory