The Gross-Zagier Formula on Shimura Curves

by Wei Zhang, Shou-wu Zhang, Xinyi Yuan

Book Overview

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...

• Format: Paperback
• Language: English
• ISBN: 0691155925
• ISBN13: 9780691155920
• Release Date: December 2012
• Publisher: Princeton University Press
• Length: 272 Pages
• Weight: 0.90 lbs.
• Dimensions: 0.5" x 6.1" x 9.1"