{
  "id": "0902.3644",
  "version": "v2",
  "published": "2009-02-20T19:21:59.000Z",
  "updated": "2009-10-12T02:22:58.000Z",
  "title": "Failure of the Hasse principle for Chatelet surfaces in characteristic 2",
  "authors": [
    "Bianca Viray"
  ],
  "comment": "5 pages. Changed the title, added Lemma 3.2, made small changes to the introduction",
  "journal": "J. Th\\'eor. Nombres Bordeaux 24 (2012), no. 1, 231-236",
  "doi": "10.5802/jtnb.794",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Given any global field k of characteristic 2, we construct a Chatelet surface over k which fails to satisfy the Hasse principle. This failure is due to a Brauer-Manin obstruction. This construction extends a result of Poonen to characteristic 2, thereby showing that the etale-Brauer obstruction is insufficient to explain all failures of the Hasse principle over a global field of any characteristic.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-10-12T02:22:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G35",
      "14G05",
      "14G25",
      "14G40"
    ],
    "keywords": [
      "hasse principle",
      "chatelet surface",
      "characteristic",
      "global field",
      "etale-brauer obstruction"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.3644V"
    }
  }
}