Invitation to higher local fields, Part II, section 9: Local reciprocity cycles

Ivan Fesenko

Invitation to higher local fields, Part II, section 9: Local reciprocity cycles

Number Theory 2009-09-25 v1 Algebraic Geometry

Authors: Ivan Fesenko

Abstract

This is an introduction to noncommutative local reciprocity maps for totally ramified Galois extensions with arithmetically profinite group. These maps in general are not homomorphisms but Galois cycles; a description of their image and kernel is included.

Keywords

galois theory langlands correspondence cyclic homology

Cite

@article{arxiv.math/0012159,
  title  = {Invitation to higher local fields, Part II, section 9: Local reciprocity cycles},
  author = {Ivan Fesenko},
  journal= {arXiv preprint arXiv:math/0012159},
  year   = {2009}
}

Comments

For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon3/m3-II-9.abs.html

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