Invitation to higher local fields, Part I, section 13: Abelian extensions of absolutely unramified complete discrete valuation fields
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.
arXiv Mathematics e-prints
- Pub Date:
- December 2000
- Mathematics - Number Theory;
- Mathematics - Algebraic Geometry;
- 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