{
  "id": "1502.00772",
  "version": "v1",
  "published": "2015-02-03T08:02:51.000Z",
  "updated": "2015-02-03T08:02:51.000Z",
  "title": "Rational points on cubic hypersurfaces over $\\mathbb{F}_q(t)$",
  "authors": [
    "Tim Browning",
    "Pankaj Vishe"
  ],
  "comment": "63 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "For any finite field k of characteristic exceeding 3, the Hasse principle and weak approximation is established for non-singular cubic hypersurfaces X over the function field k(t), provided that X has dimension at least 6.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-03T08:02:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G35",
      "11P55",
      "11T55",
      "14G05"
    ],
    "keywords": [
      "rational points",
      "non-singular cubic hypersurfaces",
      "finite field",
      "hasse principle",
      "function field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 63,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150200772B"
    }
  }
}