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The Gross-Zagier formula on Shimura curves /
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....
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2012, ©2013.
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| Colección: | Annals of mathematics studies ;
no. 184. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Descripción Física: | 1 online resource (viii, 256 pages) |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781400845644 1400845645 0691155925 9780691155920 0691155917 9780691155913 |