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Quaternion Orders, Quadratic Forms, and Shimura Curves (CRM Monograph Series) - Alsina Montserrat, Bayer Pilar
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Alsina Montserrat, Bayer Pilar:

Quaternion Orders, Quadratic Forms, and Shimura Curves (CRM Monograph Series) - hardcover

2004, ISBN: 0821833596

[SR: 4901076], Hardcover, [EAN: 9780821833599], American Mathematical Society, American Mathematical Society, Book, [PU: American Mathematical Society], 2004-04-08, American Mathematical … More...

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Alsina, Montserrat and Pilar Bayer:

Quaternion Orders, Quadratic Forms, and Shimura Curves (CRM Monograph Series) Volume 22 - used book

2004, ISBN: 9780821833599

[PU: American Mathematical Society], XVI, 196 S. 25,9 x 18,0 cm, Pappband Ebd. mit geringen Lagerspuren. Sonst neuwertig 9780821833599, DE, [SC: 2.20], wie neu, gewerbliches Angebot, [GW:… More...

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Montserrat Alsina and Pilar Bayer:
Quaternion Orders, Quadratic Forms, and Shimura Curves (Crm Monograph Series) - hardcover

2004

ISBN: 9780821833599

American Mathematical Society, Centre de Recherches Mathematiques, 2004-03-02. Hardcover. Good., American Mathematical Society, Centre de Recherches Mathematiques, 2004-03-02

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Montserrat Alsina And Pilar Bayer:
Quaternion Orders, Quadratic Forms, and Shimura Curves (Crm Monograph Series) - hardcover

2004, ISBN: 9780821833599

Hardcover, Neubuch, VIB, [PU: American Mathematical Society]

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and Shimura Curves (Crm Monograph Series) Montserrat Alsina and Pilar Bayer Orders:
Quaternion - used book

ISBN: 9780821833599

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Quaternion Orders, Quadratic Forms, and Shimura Curves (Crm Monograph Series)
Author:
Title:
ISBN:

9780821833599


Shimura curves are a far-reaching generalization of the classical modular curves. They lie at the crossroads of many areas, including complex analysis, hyperbolic geometry, algebraic geometry, algebra, and arithmetic. This monograph presents Shimura curves from a theoretical and algorithmic perspective. The main topics are Shimura curves defined over the rational number field, the construction of their fundamental domains, and the determination of their complex multiplication points. The study of complex multiplication points in Shimura curves leads to the study of families of binary quadratic forms with algebraic coefficients and to their classification by arithmetic Fuchsian groups. In this regard, the authors develop a theory full of new possibilities that parallels Gauss' theory on the classification of binary quadratic forms with integral coefficients by the action of the modular group. This is one of the few available books explaining the theory of Shimura curves at the graduate student level. Each topic covered in the book begins with a theoretical discussion followed by carefully worked-out examples, preparing the way for further research.

Details of the book - Quaternion Orders, Quadratic Forms, and Shimura Curves (Crm Monograph Series)


EAN (ISBN-13): 9780821833599
ISBN (ISBN-10): 0821833596
Hardcover
Publishing year: 2004
Publisher: American Mathematical Society

Book in our database since 2007-06-05T17:44:14-04:00 (New York)
Detail page last modified on 2023-06-15T07:19:16-04:00 (New York)
ISBN/EAN: 9780821833599

ISBN - alternate spelling:
0-8218-3359-6, 978-0-8218-3359-9
Alternate spelling and related search-keywords:
Book author: bayer, alsina, shimura
Book title: quadratic forms and, shimura, quaternion, curves, crm

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