Geometric modular forms and elliptic curves

著者

• Hida, Haruzo

書誌事項

Geometric modular forms and elliptic curves

Haruzo Hida

World Scientific, 2000

注記

Includes bibliographical references (p. 347-353) and index

内容説明・目次

内容説明

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.

目次

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

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA48788786
• ISBN:
  • 9810243375
• LCCN: 00033369
• 出版国コード: si
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Singapore
• ページ数/冊数: x, 361 p.
• 大きさ: 23 cm
• 分類:
  • LCC : QA567.2
  • DC21 : 516.3/52
• 件名:
  • LCSH : Forms, Modular
  • LCSH : Curves, Elliptic