{
  "id": "0909.4345",
  "version": "v3",
  "published": "2009-09-24T19:56:53.000Z",
  "updated": "2015-01-05T03:49:40.000Z",
  "title": "The period-index problem for fields of transcendence degree 2",
  "authors": [
    "Max Lieblich"
  ],
  "comment": "Major revision, including bug fixes, reorganization, (hopefully) improved exposition, and clarification of base field assumptions",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "Using geometric methods we prove the standard period-index conjecture for the Brauer group of a field of transcendence degree 2 over a finite field.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-01-13T20:12:11.000Z",
      "comment": "Typos corrected, minor clarifications made. 18 pages. Comments welcome at any time",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-01-05T03:49:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16K50",
      "14D20",
      "14G15"
    ],
    "keywords": [
      "transcendence degree",
      "period-index problem",
      "standard period-index conjecture",
      "brauer group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.4345L"
    }
  }
}