Hilbert Modular Forms and Iwasawa Theory

Hilbert Modular Forms and Iwasawa Theory
Author: Haruzo Hida
Publisher: Oxford University Press
Total Pages: 417
Release: 2006-06-15
Genre: Mathematics
ISBN: 019857102X


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Describing the applications found for the Wiles and Taylor technique, this book generalizes the deformation theoretic techniques of Wiles-Taylor to Hilbert modular forms (following Fujiwara's treatment), and also discusses applications found by the author.


Hilbert Modular Forms and Iwasawa Theory
Language: en
Pages: 417
Authors: Haruzo Hida
Categories: Mathematics
Type: BOOK - Published: 2006-06-15 - Publisher: Oxford University Press

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Describing the applications found for the Wiles and Taylor technique, this book generalizes the deformation theoretic techniques of Wiles-Taylor to Hilbert modu
Hilbert Modular Forms and Iwasawa Theory
Language: en
Pages: 420
Authors: Haruzo Hida
Categories: Mathematics
Type: BOOK - Published: 2006-06-15 - Publisher: Clarendon Press

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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 importa
Anticyclotomic Iwasawa Theory for Hilbert Modular Forms
Language: en
Pages:
Authors: Haining Wang
Categories:
Type: BOOK - Published: 2015 - Publisher:

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In this dissertation, we study the Iwasawa theory for Hilbert modular forms over the anticyclotomic extension of a CM field. We prove a one sided divisibility r
Hilbert Modular Forms: mod $p$ and $p$-Adic Aspects
Language: en
Pages: 114
Authors: Fabrizio Andreatta
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher: American Mathematical Soc.

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We study Hilbert modular forms in characteristic $p$ and over $p$-adic rings. In the characteristic $p$ theory we describe the kernel and image of the $q$-expan
Lectures on Hilbert Modular Varieties and Modular Forms
Language: en
Pages: 282
Authors: Eyal Zvi Goren
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

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This book is devoted to certain aspects of the theory of $p$-adic Hilbert modular forms and moduli spaces of abelian varieties with real multiplication. The the