The Gross-Zagier Formula on Shimura Curves : (AMS-184) /

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....

Descripción completa

Detalles Bibliográficos
Autor principal: Yuan, Xinyi, 1981-
Otros Autores: Zhang, Wei, 1981-, Zhang, Shouwu
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2012, 2013.
Colección:Book collections on Project MUSE.
Temas:
Shimura varieties.
Quaternions.
Automorphic forms.
Arithmetical algebraic geometry.
MATHEMATICS > Geometry > Algebraic.
Formes automorphes.
Geometrie algebrique arithmetique.
Varietes de Shimura.
Electronic books.
Acceso en línea:Texto completo
Descripción
Sumario: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 naturally to abelian varieties parametrized by Shimura curves.
Descripción Física:1 online resource.
ISBN:9781400845644

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