CiNii Books - Iwasawa theory and its perspective

Author(s)

- 落合, 理オチアイ, タダシ

Bibliographic Information

Iwasawa theory and its perspective

Tadashi Ochiai

（Mathematical surveys and monographs, v. 280）

American Mathematical Society, 2024

v. 2 : [pbk.]

Other Title

Iwasawa riron to sono tenbou

岩澤理論とその展望

Available at / 16 libraries

青山学院大学万代記念図書館(相模原分館)

v. 2 : [pbk.]882450027

OPAC
大阪公立大学杉本図書館図書館

v. 2 : [pbk.]410.8//MA72//244361100324435

OPAC
Osaka University, Main Library

v. 2 : [pbk.]12200351174

OPAC
Kanazawa University Library研究室

v. 2 : [pbk.]Ser:MSM:2802001-01407-4

OPAC
Gakushuin University Library数学図

v. 2 : [pbk.]510/220/2800200645454

OPAC
Science and Technology Library, Kyushu University

v. 2 : [pbk.]OCHI/15/1-2(E)130012024003187

OPAC
Library, Research Institute for Mathematical Sciences, Kyoto University数研

v. 2 : [pbk.]S||MSM||280200045624921

OPAC
京都大学理学部数学

v. 2 : [pbk.]Ser.||A 4||44-08.1200043132668

OPAC
中央大学図書館理工学部分館数学

v. 2 : [pbk.]512.74/O1600030561500

OPAC
東京大学柏図書館数物

v. 2 : [pbk.]M:Ochiai8950162563

OPAC
東京大学数理科学研究科図書

v. 2 : [pbk.]FU:Ochiai:T.8010843871

OPAC
Kyoto University Library

v. 2 : [pbk.]410.8||Ma 72||280

OPAC
Nagoya University Library理数理

v. 2 : [pbk.]_Ser||MS||28041701434

OPAC
福岡大学図書館

v. 2 : [pbk.]410.8/MA72/1-2802000000435491

OPAC
Rikkyo University Library

v. 2 : [pbk.]51180711

OPAC
Ritsumeikan University Main Library

v. 2 : [pbk.]11100271922

OPAC
No Libraries matched.
Remove all filters.

Search this Book/Journal

Note

Originally published: Tokyo : Iwanami Shoten, 2014 and 2016

Includes bibliographical references (p. 197-209) and index

Description and Table of Contents

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 Appendix A

by "Nielsen BookData"