English

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

Number Theory 2009-09-25 v2 Algebraic Geometry

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.

Cite

@article{arxiv.math/0012139,
  title  = {Invitation to higher local fields, Part I, section 8: Explicit formulas for the Hilbert symbol},
  author = {Sergei V. Vostokov},
  journal= {arXiv preprint arXiv:math/0012139},
  year   = {2009}
}

Comments

Published 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

R2 v1 2026-07-22T16:36:23.852Z