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
This is an introduction to the author theory of cyclic
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.
Department of mathematics, Tokyo Metropolitan University,
Minami-Osawa 1-1, Hachioji, Tokyo 192-03, Japan
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