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Hilbert Modular Forms and Iwasawa Theory

Haruzo Hida

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198571025
eISBN:
9780191718946
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198571025.001.0001
Subject:
Mathematics, Algebra

The 1995 work by 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 ... More


HECKE ALGEBRAS AS GALOIS DEFORMATION RINGS

Haruzo Hida

in Hilbert Modular Forms and Iwasawa Theory

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198571025
eISBN:
9780191718946
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198571025.003.0003
Subject:
Mathematics, Algebra

The deformation theoretic techniques of Wiles-Taylor were introduced for elliptic modular forms in the introductory Chapter 1, and are generalized to Hilbert modular forms (following Fujiwara's ... More


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