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
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.
Department of mathematics, University of Nottingham,
Nottingham, NG7 2RD UK
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