志村曲線のグロス=ザギエ公式
The Gross-Zagier Formula on Shimura Curves
Annals of Mathematics Studies
Yuan, Xinyi
Zhang, Shou-wu
Zhang, Wei
- 出版社:Princeton University Press
- 出版年月:2012年 12月
- ISBN:9780691155913
- 装丁:HRD
-
装丁について
- 言語:ENG
- 巻数・ページ数:272 p.
- 分類: 代数学・数論・群論
- DDC分類:516.352
- 内容紹介:
-
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.