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Geometric Modular Forms and Elliptic Curves - Haruzo Hida

Geometric Modular Forms and Elliptic Curves

Hardcover Published: 2000
ISBN: 9789810243371
Number Of Pages: 376

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This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. The construction of Galois representations, which play a fundamental role in Wiles' proof of the Shimura -- Taniyama conjecture, is given. In addition, the book presents an outline of the proof of diverse modularity results of two-dimensional Galois representations (including that of Wiles), as well as some of the author's new results in that direction.

Industry Reviews

This is a welcome addition to the literature in a field difficult to penetrate. This book should obviously be carefully studied by advanced students and by professional mathematicians in arithmetic algebraic geometry or (modern) number theory. -- Mathematical Reviews "Mathematical Reviews" The book's prose is clear, there are examples and exercises available, and, as always, the serious student should have a go at them: he will reap wonderful benefits. -- MAA Reviews "MAA Reviews"

Preface
An Algebro-Geometric Tool Boxp. 1
Elliptic Curvesp. 89
Geometric Modular Formsp. 197
Jacobians and Galois Representationsp. 257
Modularity Problemsp. 313
Bibliographyp. 347
List of Symbolsp. 355
List of Statementsp. 357
Indexp. 359
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9789810243371
ISBN-10: 9810243375
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 376
Published: 2000
Country of Publication: SG
Dimensions (cm): 22.56 x 16.0  x 2.41
Weight (kg): 0.64

Earn 449 Qantas Points
on this Book