{
  "id": "math/9809015",
  "version": "v1",
  "published": "1998-09-03T20:46:11.000Z",
  "updated": "1998-09-03T20:46:11.000Z",
  "title": "Rational Points on Quartics",
  "authors": [
    "Joe Harris",
    "Yuri Tschinkel"
  ],
  "comment": "32 pages; LaTeX",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "Let $S \\subset \\P^n$ be a smooth quartic hypersurface defined over a number field $K$. If $n \\ge 4$, then for some finite extension $K'$ of $K$ the set $S(K')$ of $K'$-rational points of $S$ is Zariski dense.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-09-03T20:46:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G05",
      "11D25"
    ],
    "keywords": [
      "rational points",
      "smooth quartic hypersurface",
      "number field",
      "finite extension",
      "zariski dense"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......9015H"
    }
  }
}