Invitation to higher local fields, Part I, section 6: Topological Milnor K-groups of higher local fields
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
Certain topologies on Milnor K-groups of higher local fields K are studied. These are related to the topology on the multiplicative group and important for explicit higher local class field theory. The structure of the quotient of Milnor K-groups modulo the intersection of all neighbourhoods of zero is described.
Keywords
Cite
@article{arxiv.math/0012137,
title = {Invitation to higher local fields, Part I, section 6: Topological Milnor K-groups of higher local fields},
author = {Ivan Fesenko},
journal= {arXiv preprint arXiv:math/0012137},
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-6.abs.html