Iwasawa theory and its perspective /
Ochiai, Tadashi, 1972-
Iwasawa theory and its perspective / Tadashi Ochiai. - English edition. - volumes : illustrations ; 26 cm. - Mathematical surveys and monographs, volume 272 0076-5376 ; . - Mathematical surveys and monographs ; no. 272. .
"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." --
Translated from the Japanese.
9781470456726 1470456729
2022056149
Iwasawa theory.
Number theory.
Théorie des nombres.
Iwasawa theory
Commutative algebra -- Theory of modules and ideals -- Structure, classification theorems.
512.74 / O16i
Iwasawa theory and its perspective / Tadashi Ochiai. - English edition. - volumes : illustrations ; 26 cm. - Mathematical surveys and monographs, volume 272 0076-5376 ; . - Mathematical surveys and monographs ; no. 272. .
"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." --
Translated from the Japanese.
9781470456726 1470456729
2022056149
Iwasawa theory.
Number theory.
Théorie des nombres.
Iwasawa theory
Commutative algebra -- Theory of modules and ideals -- Structure, classification theorems.
512.74 / O16i