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....

Description complète

Détails bibliographiques
Auteur principal: Yuan, Xinyi, 1981-
Autres auteurs: Zhang, Wei, 1981-, Zhang, Shouwu
Format: Électronique eBook
Langue:Inglés
Publié: Princeton : Princeton University Press, 2012, 2013.
Collection:Book collections on Project MUSE.
Sujets:
Shimura varieties.
Quaternions.
Automorphic forms.
Arithmetical algebraic geometry.
MATHEMATICS > Geometry > Algebraic.
Formes automorphes.
Geometrie algebrique arithmetique.
Varietes de Shimura.
Electronic books.
Accès en ligne:Texto completo
Description
Résumé: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.
Description matérielle:1 online resource.
ISBN:9781400845644

Documents similaires