Invitation to higher local fields, Part I, section 13: Abelian extensions of absolutely unramified complete discrete valuation fields
Number Theory
2009-09-25 v1 Algebraic Geometry
Abstract
This is an introduction to the author theory of cyclic p-extensions of an absolutely unramified complete discrete valuation field K with arbitrary residue field of characteristic p. In this theory a homomorphism is constructed from the p-part of the group of characters of K to Witt vectors over its residue field.
Keywords
Cite
@article{arxiv.math/0012144,
title = {Invitation to higher local fields, Part I, section 13: Abelian extensions of absolutely unramified complete discrete valuation fields},
author = {Masato Kurihara},
journal= {arXiv preprint arXiv:math/0012144},
year = {2009}
}
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-13.abs.html