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

2000/12/18 by Ivan Fesenko
Mathematics · #math.NT #math.AG #msc:11-99 #msc:12F99 #msc:12J25

paper · pdf

published as Geom. Topol. Monogr. Volume 3(2000) 137-142 · 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

arxiv created 2000/12/18 · arxiv updated 2009/11/30

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.

Related

• Invitation to higher local fields, Part I, section 17: An approach to higher ramification theory
• Invitation to higher local fields, Part I, section 10: Explicit higher local class field theory
• Invitation to higher local fields, Part I, section 18: On ramification theory of monogenic extensions
• Invitation to higher local fields, Part I, section 1: Higher dimensional local fields
• Class Field Theory and Arithmetic of Abelian Varieties over Local Fields