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Více o knize
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 vydání
- 2012
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Doručení
Platební metody
Navrhnout úpravu
- Titul
- The Gross-Zagier Formula on Shimura Curves
- Podtitul
- (Ams-184)
- Jazyk
- anglicky
- Autoři
- Xinyi Yuan, Shou-Wu Zhang, Wei Zhang
- Vydavatel
- Princeton University Press
- Vydavatel
- 2012
- Vazba
- pevná
- Počet stran
- 272
- ISBN13
- 9780691155913
- Kategorie
- Matematika
- Anotace
- 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.