{ "id": "1602.04517", "version": "v1", "published": "2016-02-14T22:00:49.000Z", "updated": "2016-02-14T22:00:49.000Z", "title": "On some finiteness results for unramified cohomology", "authors": [ "Igor A. Rapinchuk" ], "categories": [ "math.NT", "math.AG" ], "abstract": "We obtain several finiteness results for the unramified cohomology of function fields of algebraic varieties defined over fields of type (F'_m), a class that includes algebraically closed fields, finite fields, local fields, and some higher local fields of characteristic 0.", "revisions": [ { "version": "v1", "updated": "2016-02-14T22:00:49.000Z" } ], "analyses": { "keywords": [ "finiteness results", "unramified cohomology", "higher local fields", "finite fields", "function fields" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160204517R" } } }