ヒルベルトのモジュラ形式と岩澤理論 Hilbert Modular Forms and Iwasawa Theory (Oxford Mathematical Monographs)

Hida, Haruzo

Oxford University Press（2006/06発売）

• 製本 Hardcover:ハードカバー版／ページ数 420 p.
• 言語 ENG
• 商品コード 9780198571025
• DDC分類 512.73

基本説明

The 1995 work of Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredibly important work are still being felt. This book, authored by a leading researcher, covers both this general area and that of Iwasawa Theory.

Full Description

The 1995 work of Wiles and Taylor-Wiles opened up a whole new technique in algebraic number theory and, a decade on, the waves caused by this incredibly important work are still being felt. This book, authored by a leading researcher, describes the striking applications that have been found for this technique. In the book, the deformation theoretic techniques of Wiles-Taylor are first generalized to Hilbert modular forms (following Fujiwara's treatment), and some applications found by the author are then discussed. With many exercises and open questions given, this text is ideal for researchers and graduate students entering this research area.

Contents

Preface ; 1. Introduction ; 2. Automorphic forms on inner forms of GL(2) ; 3. Hecke algebras as Galois deformation rings ; 4. Geometric modular forms ; 5. Modular Iwasawa theory ; References ; Index