{
  "id": "math/0701348",
  "version": "v2",
  "published": "2007-01-12T14:23:21.000Z",
  "updated": "2008-01-08T07:47:15.000Z",
  "title": "Rational points on quartic hypersurfaces",
  "authors": [
    "T. D. Browning",
    "D. R. Heath-Brown"
  ],
  "comment": "47 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Let X be a non-singular projective hypersurface of degree 4, which is defined over the rational numbers. Assume that X has dimension 39 or more, and that X contains a real point and p-adic points for every prime p. Then X is shown to contain infinitely many rational points.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-08T07:47:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D72",
      "11P55",
      "14G05"
    ],
    "keywords": [
      "rational points",
      "quartic hypersurfaces",
      "p-adic points",
      "real point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1348B"
    }
  }
}