Hilbert modular forms and Iwasawa theory
著者
書誌事項
Hilbert modular forms and Iwasawa theory
（Oxford mathematical monographs）（Oxford science publications）
Clarendon Press, 2006
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注記
Includes bibliographical references (p. [387]-396) and indexes
内容説明・目次
内容説明
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, 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.
目次
- 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
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