{
  "id": "1209.6418",
  "version": "v2",
  "published": "2012-09-28T04:09:20.000Z",
  "updated": "2013-02-25T11:36:24.000Z",
  "title": "Colliot-Thélène's conjecture and finiteness of u-invariants",
  "authors": [
    "Max Lieblich",
    "R. Parimala",
    "V. Suresh"
  ],
  "comment": "25 pages, comments welcome at any time",
  "categories": [
    "math.AG",
    "math.NT",
    "math.RA"
  ],
  "abstract": "We show that Colliot-Th\\'el\\`ene's conjecture on 0-cycles of degree 1 implies finiteness for the u-invariant of the function field of a curve over a totally imaginary number field and period-index bounds for the Brauer groups of arbitrary fields of transcendence degree 1 over the rational numbers.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-25T11:36:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "colliot-thélènes conjecture",
      "u-invariant",
      "totally imaginary number field",
      "arbitrary fields",
      "function field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}