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Hilbert Modular Forms and Iwasawa Theory

✍ Scribed by Haruzo Hida

Book ID
127448677
Publisher
Oxford University Press, USA
Year
2006
Tongue
English
Weight
10 MB
Series
Oxford Mathematical Monographs
Category
Library
ISBN
019857102X

No coin nor oath required. For personal study only.

✦ Synopsis

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 forresearchers and graduate students entering this research area.

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