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GEOMETRIC MODULAR FORMS AND ELLIPTIC CURVES
by Haruzo Hida (University of California, Los Angeles)
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.
Contents:
- An Algebro-Geometric Tool Box
- Elliptic Curves
- Geometric Modular
Forms
- Jacobians and Galois Representations
- Modularity Problems
Readership: Graduates and researchers in number theory.
"... 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."
| 376pp |
Pub. date: Sept 2000 |
This is a Print On Demand title. We no longer stock the original but will recreate a copy for you. While all efforts are made to ensure that quality is the same as the original, there may be differences in some areas of the design and packaging.
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