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Bestseller
BestsellerE-book
Author Yuan, Xinyi, 1981-

Title The Gross-Zagier formula on Shimura curves / Xinyi Yuan, Shou-wu Zhang, and Wei Zhang.

Publication Info. Princeton : Princeton University Press, 2012.
©2013
Online access
Online eBook. Access restricted to current Rider University students, faculty, and staff.
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Description 1 online resource (viii, 256 pages).
Physical Medium polychrome
Description text file
Series Annals of mathematics studies ; no. 184
Annals of mathematics studies ; no. 184.
Bibliography Includes bibliographical references and index.
Summary 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.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Shimura varieties.
Shimura varieties.
Arithmetical algebraic geometry.
Arithmetical algebraic geometry.
Automorphic forms.
Automorphic forms.
Quaternions.
Quaternions.
Genre/Form Electronic books.
Added Author Zhang, Shouwu.
Zhang, Wei, 1981-
Other Form: Print version: Yuan, Xinyi, 1981- Gross-Zagier formula on Shimura curves. Princeton : Princeton University Press, 2012, ©2013 (DLC) 2012010981
ISBN 9781400845644 (electronic book)
1400845645 (electronic book)
0691155925
9780691155920
0691155917 (hardcover ; alkaline paper)
9780691155913 (hardcover ; alkaline paper)
9780691155913 (hardcover ; alkaline paper)
9780691155920 (paperback ; alkaline paper)
1283571463
9781283571463

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