{
  "id": "1002.0255",
  "version": "v1",
  "published": "2010-02-01T14:53:26.000Z",
  "updated": "2010-02-01T14:53:26.000Z",
  "title": "On Manin's conjecture for a family of Châtelet surfaces",
  "authors": [
    "R. de la Bretèche",
    "T. D. Browning",
    "E. Peyre"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "The Manin conjecture is established for Ch\\^atelet surfaces over Q arising as minimal proper smooth models of the surface Y^2+Z^2=f(X) where f is a totally reducible polynomial of degree 3 without repeated roots. These surfaces do not satisfy weak approximation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-01T14:53:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E08",
      "11D45",
      "12G05",
      "14F43"
    ],
    "keywords": [
      "manins conjecture",
      "châtelet surfaces",
      "minimal proper smooth models",
      "satisfy weak approximation",
      "manin conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.0255D"
    }
  }
}