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

2020/02/12 by Sakamoto, Ryotaro
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2002.04871

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.

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