Conjectures of Brumer, Gross and Stark
Number Theory
2017-10-11 v2
Abstract
We give an introduction to generalisations of conjectures of Brumer and Stark on the annihilator of the class group of a number field. We review the relation to the equivariant Tamagawa number conjecture, the main conjecture of Iwasawa theory for totally real fields, and a conjecture of Gross on the behaviour of -adic Artin -functions at zero.
Keywords
Cite
@article{arxiv.1707.04432,
title = {Conjectures of Brumer, Gross and Stark},
author = {Andreas Nickel},
journal= {arXiv preprint arXiv:1707.04432},
year = {2017}
}
Comments
survey article; 19 pages