Abstract
The main conjectures in Iwasawa theory predict the relationship between the Iwasawa modules and the pp-adic LL-functions. Using a certain proved formulation of the main conjecture, Greither and Kurihara described explicitly the (initial) Fitting ideals of the Iwasawa modules for the cyclotomic Zp-extensions of finite abelian extensions of totally real fields. In this paper, we generalize the algebraic theory behind their work by developing the theory of “shifts of Fitting invariants.” As applications to Iwasawa theory, we obtain a noncommutative version and a two-variable version of the work of Greither and Kurihara.
Information
Digital Object Identifier: 10.2969/aspm/08610413