The Gross-Zagier formula on Shimura curves:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton
Princeton University Press
2012, c2013
|
| Series: | Annals of mathematics studies
no. 184 |
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references and index 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. This is followed by a complete proof o |
| Physical Description: | 1 Online-Ressource (viii, 256 p.) |
| ISBN: | 0691155925 1283571463 1400845645 9780691155920 9781283571463 9781400845644 |
Staff View
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| 100 | 1 | |a Yuan, Xinyi |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The Gross-Zagier formula on Shimura curves |c Xinyi Yuan, Shou-wu Zhang, and Wei Zhang |
| 264 | 1 | |a Princeton |b Princeton University Press |c 2012, c2013 | |
| 300 | |a 1 Online-Ressource (viii, 256 p.) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Annals of mathematics studies |v no. 184 | |
| 500 | |a Includes bibliographical references and index | ||
| 500 | |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. This is followed by a complete proof o | ||
| 650 | 7 | |a MATHEMATICS / Geometry / Algebraic |2 bisacsh | |
| 650 | 7 | |a Arithmetical algebraic geometry |2 fast | |
| 650 | 7 | |a Automorphic forms |2 fast | |
| 650 | 7 | |a Quaternions |2 fast | |
| 650 | 7 | |a Shimura varieties |2 fast | |
| 650 | 7 | |a Shimura varieties |2 local | |
| 650 | 7 | |a Arithmetical algebraic geometry |2 local | |
| 650 | 7 | |a Automorphic forms |2 local | |
| 650 | 7 | |a Quaternions |2 local | |
| 650 | 4 | |a Shimura varieties | |
| 650 | 4 | |a Arithmetical algebraic geometry | |
| 650 | 4 | |a Automorphic forms | |
| 650 | 4 | |a Quaternions | |
| 700 | 1 | |a Zhang, Shouwu |e Sonstige |4 oth | |
| 700 | 1 | |a Zhang, Wei |e Sonstige |4 oth | |
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Record in the Search Index
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| any_adam_object | |
| author | Yuan, Xinyi |
| author_facet | Yuan, Xinyi |
| author_role | aut |
| author_sort | Yuan, Xinyi |
| author_variant | x y xy |
| building | Verbundindex |
| bvnumber | BV043060370 |
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| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)811400574 (DE-599)BVBBV043060370 |
| dewey-full | 516.3/52 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/52 |
| dewey-search | 516.3/52 |
| dewey-sort | 3516.3 252 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043060370 |
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| indexdate | 2024-07-10T07:16:14Z |
| institution | BVB |
| isbn | 0691155925 1283571463 1400845645 9780691155920 9781283571463 9781400845644 |
| language | English |
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| physical | 1 Online-Ressource (viii, 256 p.) |
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| publishDate | 2012 |
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| publisher | Princeton University Press |
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| series2 | Annals of mathematics studies |
| spelling | Yuan, Xinyi Verfasser aut The Gross-Zagier formula on Shimura curves Xinyi Yuan, Shou-wu Zhang, and Wei Zhang Princeton Princeton University Press 2012, c2013 1 Online-Ressource (viii, 256 p.) txt rdacontent c rdamedia cr rdacarrier Annals of mathematics studies no. 184 Includes bibliographical references and index 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. This is followed by a complete proof o MATHEMATICS / Geometry / Algebraic bisacsh Arithmetical algebraic geometry fast Automorphic forms fast Quaternions fast Shimura varieties fast Shimura varieties local Arithmetical algebraic geometry local Automorphic forms local Quaternions local Shimura varieties Arithmetical algebraic geometry Automorphic forms Quaternions Zhang, Shouwu Sonstige oth Zhang, Wei Sonstige oth Erscheint auch als Druckausgabe 0-691-15591-7 Erscheint auch als Druckausgabe 978-0-691-15591-3 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=479005 Aggregator Volltext |
| spellingShingle | Yuan, Xinyi The Gross-Zagier formula on Shimura curves MATHEMATICS / Geometry / Algebraic bisacsh Arithmetical algebraic geometry fast Automorphic forms fast Quaternions fast Shimura varieties fast Shimura varieties local Arithmetical algebraic geometry local Automorphic forms local Quaternions local Shimura varieties Arithmetical algebraic geometry Automorphic forms Quaternions |
| title | The Gross-Zagier formula on Shimura curves |
| title_auth | The Gross-Zagier formula on Shimura curves |
| title_exact_search | The Gross-Zagier formula on Shimura curves |
| title_full | The Gross-Zagier formula on Shimura curves Xinyi Yuan, Shou-wu Zhang, and Wei Zhang |
| title_fullStr | The Gross-Zagier formula on Shimura curves Xinyi Yuan, Shou-wu Zhang, and Wei Zhang |
| title_full_unstemmed | The Gross-Zagier formula on Shimura curves Xinyi Yuan, Shou-wu Zhang, and Wei Zhang |
| title_short | The Gross-Zagier formula on Shimura curves |
| title_sort | the gross zagier formula on shimura curves |
| topic | MATHEMATICS / Geometry / Algebraic bisacsh Arithmetical algebraic geometry fast Automorphic forms fast Quaternions fast Shimura varieties fast Shimura varieties local Arithmetical algebraic geometry local Automorphic forms local Quaternions local Shimura varieties Arithmetical algebraic geometry Automorphic forms Quaternions |
| topic_facet | MATHEMATICS / Geometry / Algebraic Arithmetical algebraic geometry Automorphic forms Quaternions Shimura varieties |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=479005 |
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