{ "id": "0903.0132", "version": "v1", "published": "2009-03-01T10:36:06.000Z", "updated": "2009-03-01T10:36:06.000Z", "title": "A generalization of the Picard-Brauer exact sequence", "authors": [ "Cristian D. Gonzalez-Aviles" ], "comment": "9 pages", "categories": [ "math.AG", "math.NT" ], "abstract": "We extend an argument of S.Lichtenbaum involving codimension one cycles to higher codimensions and obtain a generalization of the well-known Picard-Brauer exact sequence for a smooth variety X. The resulting exact sequence connects the codimension n Chow group of X with a certain \"Brauer-like\" group.", "revisions": [ { "version": "v1", "updated": "2009-03-01T10:36:06.000Z" } ], "analyses": { "subjects": [ "14C15", "14C25" ], "keywords": [ "generalization", "well-known picard-brauer exact sequence", "resulting exact sequence connects", "higher codimensions", "smooth variety" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0903.0132G" } } }