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The Gross-Zagier Formula on Shimura Curves: (AMS-184)

(Hardback)

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Publishing Details

Full Title:

The Gross-Zagier Formula on Shimura Curves: (AMS-184)

Contributors:

By (Author) Xinyi Yuan
By (author) Shou-wu Zhang
By (author) Wei Zhang

ISBN:

9780691155913

Publisher:

Princeton University Press

Imprint:

Princeton University Press

Publication Date:

11th February 2013

Country:

United States

Classifications

Readership:

Tertiary Education

Fiction/Non-fiction:

Non Fiction

Main Subject:
Dewey:

516.352

Physical Properties

Physical Format:

Hardback

Number of Pages:

272

Dimensions:

Width 152mm, Height 235mm

Weight:

510g

Description

Offers a comprehensive account of the Gross-Zagier formula on Shimura curves over real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. This title begins with a conceptual formulation of the Gross-Zagier formula in terms of incoherent quaternion algebras and incoherent automorphic representations.

Author Bio

Xinyi Yuan is assistant professor of mathematics at Princeton University. Shou-wu Zhang is professor of mathematics at Princeton University and Columbia University. Wei Zhang is assistant professor of mathematics at Columbia University.

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