A higher rank Euler system for the multiplicative group over a totally real field

Abstract

In this paper, we construct a higher rank Euler system for the multiplicative group over a totally real field by using the Iwasawa main conjecture proved by Wiles. A key ingredient of the construction is to generalize the notion of the characteristic ideal. Under certain technical assumptions, we prove that all higher Fitting ideals of a certain $p$-ramified Iwasawa module are described by analytic invariants canonically associated with Stickelberger elements.

45 pages

References in corpus (1)

• On the theory of higher rank Euler, Kolyvagin and Stark systems, III: applications

Cited by in corpus (1)

• On functional equations of Euler systems