Softcover ISBN: | 978-1-4704-5673-3 |
Product Code: | SURV/280 |
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AMS Member Price: | $108.00 |
eBook ISBN: | 978-1-4704-7726-4 |
Product Code: | SURV/280.E |
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AMS Member Price: | $100.00 |
Softcover ISBN: | 978-1-4704-5673-3 |
eBook: ISBN: | 978-1-4704-7726-4 |
Product Code: | SURV/280.B |
List Price: | $260.00 $197.50 |
MAA Member Price: | $234.00 $177.75 |
AMS Member Price: | $208.00 $158.00 |
Softcover ISBN: | 978-1-4704-5673-3 |
Product Code: | SURV/280 |
List Price: | $135.00 |
MAA Member Price: | $121.50 |
AMS Member Price: | $108.00 |
eBook ISBN: | 978-1-4704-7726-4 |
Product Code: | SURV/280.E |
List Price: | $125.00 |
MAA Member Price: | $112.50 |
AMS Member Price: | $100.00 |
Softcover ISBN: | 978-1-4704-5673-3 |
eBook ISBN: | 978-1-4704-7726-4 |
Product Code: | SURV/280.B |
List Price: | $260.00 $197.50 |
MAA Member Price: | $234.00 $177.75 |
AMS Member Price: | $208.00 $158.00 |
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Book DetailsMathematical Surveys and MonographsVolume: 280; 2024; 211 ppMSC: Primary 11; 13
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.
ReadershipGraduate students and researchers interested in number theory and arithmetic geometry.
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Table of Contents
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Chapters
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Introduction to cyclotomic Iwasawa theory of elliptic curves
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Framework of cyclotomic Iwasawa theory for $p$-adic Galois representations
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Known results on cyclotomic Iwasawa theory for $p$-adic representations
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Appendix A
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
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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.
Graduate students and researchers interested in number theory and arithmetic geometry.
-
Chapters
-
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