Geometric Modular Forms And Elliptic Curves

Haruzo Hida (Autor)

Buch | Hardcover

376 Seiten

2000
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-4337-1 (ISBN)

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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.

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.

An algebro-geometric tool box; elliptic curves; geometric modular forms; Jacobians and Galois representations; modularity problems.

Erscheint lt. Verlag	29.9.2000
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	981-02-4337-5 / 9810243375
ISBN-13	978-981-02-4337-1 / 9789810243371
Zustand	Neuware