Invitation to higher local fields, Part I, section 8: Explicit formulas for the Hilbert symbol

Abstract

This is a review of the vast area of explicit formulas for the (wild) Hilbert symbol (not only in the one-dimensional case but in the higher dimensional case as well). An extensive bilbiography is included.

arXiv commentPublished by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon3/m3-I-8.abs.html . Version 2: improvements to the historical comments