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Iwasawa Theory and Its Perspective, Volume 2
出版済み 3-5週間でお届けいたします。
Author: Tadashi Ochiai Publisher: American Mathematical Society ISBN: 9781470456733 Cover: PAPERBACK Date: 2024年04月 DESCRIPTION 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. 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
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