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The Gross-Zagier Formula on Shimura Curves : (AMS-184) /
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....
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| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2012, 2013.
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| Colección: | Book collections on Project MUSE.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a22000004a 4500 | ||
|---|---|---|---|
| 001 | musev2_30686 | ||
| 003 | MdBmJHUP | ||
| 005 | 20230905043238.0 | ||
| 006 | m o d | ||
| 007 | cr||||||||nn|n | ||
| 008 | 120424t20122013nju o 00 0 eng d | ||
| 020 | |a 9781400845644 | ||
| 020 | |z 9780691155920 | ||
| 020 | |z 9780691155913 | ||
| 040 | |a MdBmJHUP |c MdBmJHUP | ||
| 100 | 1 | |a Yuan, Xinyi, |d 1981- | |
| 245 | 1 | 4 | |a The Gross-Zagier Formula on Shimura Curves : |b (AMS-184) / |c Xinyi Yuan, Shou-wu Zhang, and Wei Zhang. |
| 264 | 1 | |a Princeton : |b Princeton University Press, |c 2012, 2013. | |
| 264 | 3 | |a Baltimore, Md. : |b Project MUSE, |c 0000 | |
| 264 | 4 | |c ©2012, 2013. | |
| 300 | |a 1 online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a Annals of mathematics studies ; |v no. 184 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface -- |t Chapter One. Introduction and Statement of Main Results -- |t Chapter Two. Weil Representation and Waldspurger Formula -- |t Chapter Three. Mordell-Weil Groups and Generating Series -- |t Chapter Four. Trace of the Generating Series -- |t Chapter Five. Assumptions on the Schwartz Function -- |t Chapter Six. Derivative of the Analytic Kernel -- |t Chapter Seven. Decomposition of the Geometric Kernel -- |t Chapter Eight. Local Heights of CM Points -- |t Bibliography -- |t Index. |
| 520 | |a 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. | ||
| 546 | |a In English. | ||
| 588 | |a Description based on print version record. | ||
| 650 | 7 | |a Shimura varieties. |2 fast |0 (OCoLC)fst01116007 | |
| 650 | 7 | |a Quaternions. |2 fast |0 (OCoLC)fst01085499 | |
| 650 | 7 | |a Automorphic forms. |2 fast |0 (OCoLC)fst00824129 | |
| 650 | 7 | |a Arithmetical algebraic geometry. |2 fast |0 (OCoLC)fst00814526 | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Algebraic. |2 bisacsh | |
| 650 | 6 | |a Quaternions. | |
| 650 | 6 | |a Formes automorphes. | |
| 650 | 6 | |a Geometrie algebrique arithmetique. | |
| 650 | 6 | |a Varietes de Shimura. | |
| 650 | 0 | |a Quaternions. | |
| 650 | 0 | |a Automorphic forms. | |
| 650 | 0 | |a Arithmetical algebraic geometry. | |
| 650 | 0 | |a Shimura varieties. | |
| 655 | 7 | |a Electronic books. |2 local | |
| 700 | 1 | |a Zhang, Wei, |d 1981- | |
| 700 | 1 | |a Zhang, Shouwu. | |
| 710 | 2 | |a Project Muse. |e distributor | |
| 830 | 0 | |a Book collections on Project MUSE. | |
| 856 | 4 | 0 | |z Texto completo |u https://projectmuse.uam.elogim.com/book/30686/ |
| 945 | |a Project MUSE - Custom Collection | ||