[PDF.50xs] The Gross-Zagier Formula on Shimura Curves (Annals of Mathematics Studies)

The Gross-Zagier Formula on Shimura Curves (Annals of Mathematics Studies)

[PDF.xc76] The Gross-Zagier Formula on Shimura Curves (Annals of Mathematics Studies)

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 | #3128903 in Books |  Princeton University Press |  2012-12-02 | Original language:English | PDF # 1 |  9.21 x.56 x6.14l,.86 | File type: PDF | 272 pages

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||About the Author|Xinyi Yuan is assistant professor of mathematics at Princeton University. Shou-wu Zhang is professor of mathematics at Princeton University and Columbia University. Wei Zhang is assistant professor of mathematics at Columbia University.

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...

You can specify the type of files you want, for your device.The Gross-Zagier Formula on Shimura Curves (Annals of Mathematics Studies)   |  Xinyi Yuan, Shou-wu Zhang, Wei Zhang. A good, fresh read, highly recommended.

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