|
|
|||
|
||||
OverviewIwasawa 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. Full Product DetailsAuthor: Tadashi OchiaiPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 280 ISBN: 9781470456733ISBN 10: 1470456737 Pages: 211 Publication Date: 30 April 2024 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsIntroduction 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 AReviewsAuthor InformationTadashi Ochiai, Tokyo Institute of Technology, Japan. Tab Content 6Author Website:Countries AvailableAll regions |