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

Return to contents page
GT home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to