Iwasawa Theory and Its Perspective, Volume 2

Author:   Tadashi Ochiai
Publisher:   American Mathematical Society
Volume:   280
ISBN:  

9781470456733


Pages:   211
Publication Date:   30 April 2024
Format:   Paperback
Availability:   Temporarily unavailable   Availability explained
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Iwasawa Theory and Its Perspective, Volume 2


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Overview

Iwasawa theory began in the late 1950s with a series of papers by Kenkichi Iwasawa on ideal class groups in the cyclotomic tower of number fields and their relation to $p$-adic $L$-functions. The theory was later generalized by putting it in the context of elliptic curves and modular forms. The main motivation for writing this book was the need for a total perspective of Iwasawa theory that includes the new trends of generalized Iwasawa theory. Another motivation is to update the classical theory for class groups, taking into account the changed point of view on Iwasawa theory. The goal of this second part of the three-part publication is to explain various aspects of the cyclotomic Iwasawa theory of $p$-adic Galois representations.

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Author:   Tadashi Ochiai
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   280
ISBN:  

9781470456733


ISBN 10:   1470456737
Pages:   211
Publication Date:   30 April 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

Introduction to cyclotomic Iwasawa theory of elliptic curves Framework of cyclotomic Iwasawa theory for $p$-adic Galois representations Known results on cyclotomic Iwasawa theory for $p$-adic representations Appendix A

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Tadashi Ochiai, Tokyo Institute of Technology, Japan.

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