Geometry & Topology Monographs 3 (2000) - Invitation to higher local fields, Part I, section 13, pages 113-116

Abelian extensions of absolutely unramified complete discrete valuation fields

M. Kurihara

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.
AMS subject classification. 19F99, 19D99, 19F05, 19F99.

E-print: arXiv:math.NT/0012144

Masato Kurihara
Department of mathematics, Tokyo Metropolitan University, Minami-Osawa 1-1, Hachioji, Tokyo 192-03, Japan

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