Invitation to higher local fields, Part I, section 10: Explicit higher local class field theory
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
This is a presentation of explicit methods to construct higher local class field theory by using topological K-groups, explicit symbols and a generalization of Neukirch-Hazewinkel's axiomatic approaches. The existence theorem is discussed as well.
Keywords
Cite
@article{arxiv.math/0012141,
title = {Invitation to higher local fields, Part I, section 10: Explicit higher local class field theory},
author = {Ivan Fesenko},
journal= {arXiv preprint arXiv:math/0012141},
year = {2007}
}
Comments
For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon3/m3-I-10.abs.html