Iwasawa theory and its perspective
著者
書誌事項
Iwasawa theory and its perspective
（Mathematical surveys and monographs, v. 280）
American Mathematical Society, 2024
- v. 2 : [pbk.]
- タイトル別名
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Iwasawa riron to sono tenbou
岩澤理論とその展望
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注記
Originally published: Tokyo : Iwanami Shoten, 2014 and 2016
Includes bibliographical references (p. 197-209) and index
内容説明・目次
内容説明
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.
目次
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
「Nielsen BookData」 より