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 third part of the three-part publication is to present additional aspects of the cyclotomic Iwasawa theory of $p$-adic Galois representations.
By:
Tadashi Ochiai Imprint: American Mathematical Society Country of Publication: United States Dimensions:
Height: 254mm,
Width: 178mm,
ISBN:9781470477325 ISBN 10: 1470477327 Series:Mathematical Surveys and Monographs Pages: 110 Publication Date:24 July 2025 Audience:
Professional and scholarly
,
Undergraduate
Format:Paperback Publisher's Status: Active
Framework on Iwasawa theory for $p$-adic Galois deformations Known results on Iwasawa theory for $p$-adic deformations Appendix A References Index