Geometric Modular Forms and Elliptic Curves

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  • Geometric Modular Forms and Elliptic Curves Book Detail

  • Author : Haruzo Hida
  • Release Date : 2000
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 382
  • ISBN 13 : 9789810243371
  • File Size : 41,41 MB

Geometric Modular Forms and Elliptic Curves by Haruzo Hida PDF Summary

Book Description: 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.

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Geometric Modular Forms and Elliptic Curves

Geometric Modular Forms and Elliptic Curves

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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 cons

Geometric Modular Forms and Elliptic Curves

Geometric Modular Forms and Elliptic Curves

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An introductory 1997 account in the style of the original discoverers, treating the fundamental themes even-handedly.

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The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic the