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Higher class field theory without using K–groups

Ivan Fesenko

Geometry & Topology Monographs 3 (2000) 137–142

DOI: 10.2140/gtm.2000.3.137

arXiv: math.NT/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.

Keywords

higher local class field theory
Mathematical Subject Classification

Primary: 11-99, 12F99, 12J25
References
Publication


Published: 10 December 2000
Authors
Ivan Fesenko
Department of Mathematics
University of Nottingham
Nottingham
NG7 2RD
England