A higher rank Euler system for the multiplicative group over a totally real field
Number Theory
2020-02-18 v2
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 -ramified Iwasawa module are described by analytic invariants canonically associated with Stickelberger elements.
Cite
@article{arxiv.2002.04871,
title = {A higher rank Euler system for the multiplicative group over a totally real field},
author = {Ryotaro Sakamoto},
journal= {arXiv preprint arXiv:2002.04871},
year = {2020}
}
Comments
45 pages