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

arXiv:math/0012147

Abstract

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.

For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon3/m3-I-16.abs.html

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