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The Gross-Zagier Formula on Shimura Curves
(Ams-184)
Autori
Viac o knihe
The book delves into the Gross-Zagier formula concerning Shimura curves over totally real fields, exploring the relationship between the heights of Heegner points on abelian varieties and L-series derivatives. It highlights new applications of this formula, particularly in the context of the Birch and Swinnerton-Dyer conjecture and Diophantine equations, making it a significant contribution to the field of number theory.
Nákup knihy
The Gross-Zagier Formula on Shimura Curves, Xinyi Yuan, Shou-Wu Zhang, Wei Zhang
- Jazyk
- Rok vydania
- 2012
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- Titul
- The Gross-Zagier Formula on Shimura Curves
- Podtitul
- (Ams-184)
- Jazyk
- anglicky
- Autori
- Xinyi Yuan, Shou-Wu Zhang, Wei Zhang
- Vydavateľ
- Princeton University Press
- Rok vydania
- 2012
- Väzba
- pevná
- Počet strán
- 272
- ISBN13
- 9780691155913
- Kategórie
- Matematika
- Anotácia
- The book delves into the Gross-Zagier formula concerning Shimura curves over totally real fields, exploring the relationship between the heights of Heegner points on abelian varieties and L-series derivatives. It highlights new applications of this formula, particularly in the context of the Birch and Swinnerton-Dyer conjecture and Diophantine equations, making it a significant contribution to the field of number theory.