A Note on Tamely Ramified Class Field Theory of Two Dimensional Local Rings
Number Theory
2022-05-10 v2
Abstract
In this note, we treat two dimensional complete local rings which are called "semi-stable local rings" and discuss the tame class filed theory. In 1987, Professor S. Saito completed the unramified class field theory of the general two dimensional excellent local rings. On the other hand, we discuss the tame class field theory for a specific local rings.
Cite
@article{arxiv.2204.12286,
title = {A Note on Tamely Ramified Class Field Theory of Two Dimensional Local Rings},
author = {Shinji Ishida},
journal= {arXiv preprint arXiv:2204.12286},
year = {2022}
}
Comments
8 pages