{
  "id": "math/0207257",
  "version": "v1",
  "published": "2002-07-27T00:27:33.000Z",
  "updated": "2002-07-27T00:27:33.000Z",
  "title": "Rational curves on hypersurfaces of low degree, II",
  "authors": [
    "Joe Harris",
    "Jason Starr"
  ],
  "comment": "47 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "This is a continuation of \"Rational curves on hypersurfaces of low degree\", math.AG/0203088. We prove that if d^2+d+1 < n and d > 2, then for a general hypersurface X_d in P^n of degree d, for each degree e the space of rational curves of degree e on X is itself a rationally connected variety.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-07-27T00:27:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N25",
      "14C05"
    ],
    "keywords": [
      "rational curves",
      "low degree",
      "general hypersurface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......7257H"
    }
  }
}