Iwasawa theory and its perspective / Tadashi Ochiai.

Ochiai, Tadashi, 1972- [author.]

Material type: Text

TextLanguage: English Original language: Japanese Series: Mathematical surveys and monographs ; no. 272.Publisher: Providence, Rhode Island : American Mathematical Society, 2023-Copyright date: ©2023Edition: English editionDescription: volumes : illustrations ; 26 cmContent type:

text

Media type:

unmediated

Carrier type:

volume

ISBN:

9781470456726
1470456729

Uniform titles:

Iwasawa riron to sono tenbō. English

Subject(s):

DDC classification:

512.74 O16i

Other classification:

11R23 | 11R42 | 11R34 | 13C05

Abstract: "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 of this book is an update of the classical theory for class groups taking into account the changed point of view on Iwasawa theory." -- Provided by publisher.

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	Castorina	Livros (Books)	512.74 O16i 2023 IMPA (Browse shelf(Opens below))	1	Available		39063000808918

"Originally published in 2014 and 2016 by Iwanami Shoten, Publishers, Tokyo."

Volume 1 of 2. (Preface, page vii)

Includes bibliographical references (pages 145-151) and index.

"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 of this book is an update of the classical theory for class groups taking into account the changed point of view on Iwasawa theory." -- Provided by publisher.

Translated from the Japanese.

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