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Abelian extensions of absolutely unramified complete discrete valuation fields

Masato Kurihara

Geometry & Topology Monographs 3 (2000) 113–116

DOI: 10.2140/gtm.2000.3.113

arXiv: math.NT/0012144

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

higher local class field theory, complete discrete valuation fields, Milnor K–groups, differential forms

Mathematical Subject Classification

Primary: 19D99, 19F05, 19F99, 19F99

References
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Published: 10 December 2000

Authors
Masato Kurihara
Department of Mathematics
Tokyo Metropolitan University
Minami-Osawa 1-1
Hachioji
Tokyo 192-03
Japan