{ "id": "math/0012139", "version": "v2", "published": "2000-12-18T03:47:59.000Z", "updated": "2001-02-13T14:13:36.000Z", "title": "Invitation to higher local fields, Part I, section 8: Explicit formulas for the Hilbert symbol", "authors": [ "Sergei V. Vostokov" ], "comment": "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", "journal": "Geom. Topol. Monogr. Volume 3(2000) 81-89", "categories": [ "math.NT", "math.AG" ], "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.", "revisions": [ { "version": "v2", "updated": "2001-02-13T14:13:36.000Z" } ], "analyses": { "subjects": [ "11S99", "19F15" ], "keywords": [ "higher local fields", "explicit formulas", "hilbert symbol", "invitation", "higher dimensional case" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }