The Gross-Zagier formula on Shimura curves /

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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....

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Yuan, Xinyi, 1981-
Otros Autores: Zhang, Shouwu, Zhang, Wei, 1981-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2012, ©2013.
Colección:Annals of mathematics studies ; no. 184.
Temas:
Shimura varieties.
Arithmetical algebraic geometry.
Automorphic forms.
Quaternions.
Variétés de Shimura.
Géométrie algébrique arithmétique.
Formes automorphes.
MATHEMATICS > Geometry > Algebraic.
Arithmetical algebraic geometry
Automorphic forms
Quaternions
Shimura varieties
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Contents
  • Preface
  • Chapter One. Introduction and Statement of Main Results
  • Chapter Two. Weil Representation and Waldspurger Formula
  • Chapter Three. Mordell-Weil Groups and Generating Series
  • Chapter Four. Trace of the Generating Series
  • Chapter Five. Assumptions on the Schwartz Function
  • Chapter Six. Derivative of the Analytic Kernel
  • Chapter Seven. Decomposition of the Geometric Kernel
  • Chapter Eight. Local Heights of CM Points
  • Bibliography
  • Index.

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