Geometry & Topology Monographs 3 (2000) - Invitation to higher local fields, Part I, section 16, pages 137-142.

Higher class field theory without using K-groups

I. Fesenko

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.
Keywords. Higher local class field theory.
AMS subject classification. 11-99, 12F99, 12J25.

E-print: arXiv:math.NT/0012147

Ivan Fesenko
Department of mathematics, University of Nottingham, Nottingham, NG7 2RD UK
Email: ibf@maths.nott.ac.uk

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