Invitation to higher local fields, Part I, section 16: Higher class field theory without using K-groups

Mathematics – Number Theory

Scientific paper

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For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwi

Scientific paper

Author's generalization of one-dimensional class field theory to theory of
abelian totally ramified p-extensions of a complete discrete valuation field
with arbitrary non-separably p-closed residue field and its applications are
described.

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