0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry

Buy Now

The Gross-Zagier Formula on Shimura Curves - (AMS-184) (Paperback, New) Loot Price: R3,167
Discovery Miles 31 670
The Gross-Zagier Formula on Shimura Curves - (AMS-184) (Paperback, New): Xinyi Yuan, Shouwu Zhang, Wei Zhang

The Gross-Zagier Formula on Shimura Curves - (AMS-184) (Paperback, New)

Xinyi Yuan, Shouwu Zhang, Wei Zhang

Series: Annals of Mathematics Studies

 (sign in to rate)
Loot Price R3,167 Discovery Miles 31 670 | Repayment Terms: R297 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

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 of its coherent analogue: the Waldspurger formula, which relates the periods of integrals and the special values of L-series by means of Weil representations. The Gross-Zagier formula is then reformulated in terms of incoherent Weil representations and Kudla's generating series. Using Arakelov theory and the modularity of Kudla's generating series, the proof of the Gross-Zagier formula is reduced to local formulas.

"The Gross-Zagier Formula on Shimura Curves" will be of great use to students wishing to enter this area and to those already working in it.

General

Imprint: Princeton University Press
Country of origin: United States
Series: Annals of Mathematics Studies
Release date: December 2012
First published: 2013
Authors: Xinyi Yuan • Shouwu Zhang • Wei Zhang
Dimensions: 235 x 152 x 13mm (L x W x T)
Format: Paperback - Trade
Pages: 272
Edition: New
ISBN-13: 978-0-691-15592-0
Categories: Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
Promotions
LSN: 0-691-15592-5
Barcode: 9780691155920

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Sasakian Geometry
Charles Boyer, the late Krzysztof Galicki Hardcover R5,678 Discovery Miles 56 780
Deformation Theory of Discontinuous…
Ali Baklouti Hardcover R5,878 Discovery Miles 58 780
One-cocycles And Knot Invariants
Thomas Fiedler Hardcover R3,496 Discovery Miles 34 960
Infinity Operads And Monoidal Categories…
Donald Yau Hardcover R4,305 Discovery Miles 43 050
Geometric Sculptures - an Exploration of…
Rocky Lau Hardcover R1,882 Discovery Miles 18 820
bundle available
Associative Algebraic Geometry
Arvid Siqveland Hardcover R4,019 Discovery Miles 40 190
Normal Partitions and Hierarchical…
Gennadiy Vladimirovich Zhizhin Hardcover R6,134 Discovery Miles 61 340
Representation Theory and Geometry of…
William M. McGovern Hardcover R4,064 Discovery Miles 40 640
Commutative Algebra - Expository Papers…
Irena Peeva Hardcover R5,801 Discovery Miles 58 010
The Absolute Galois Group of a…
Dan Haran, Moshe Jarden Hardcover R3,262 Discovery Miles 32 620
Protecting Privacy through Homomorphic…
Kristin Lauter, Wei Dai, … Hardcover R3,267 Discovery Miles 32 670
Instanton Counting, Quantum Geometry and…
Taro Kimura Hardcover R3,980 Discovery Miles 39 800

See more

Partners