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Abelian extensions of absolutely unramified complete
discrete valuation fields
Masato Kurihara
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Geometry & Topology Monographs 3
(2000) 113–116
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Abstract
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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.
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Keywords
higher local class field theory, complete
discrete valuation fields, Milnor K–groups,
differential forms
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Mathematical Subject Classification
Primary: 19D99, 19F05, 19F99, 19F99
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Publication
Published: 10 December 2000
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