{
  "id": "math/0203088",
  "version": "v1",
  "published": "2002-03-08T22:38:47.000Z",
  "updated": "2002-03-08T22:38:47.000Z",
  "title": "Rational curves on hypersurfaces of low degree",
  "authors": [
    "Joe Harris",
    "Mike Roth",
    "Jason Starr"
  ],
  "comment": "41 pages, 2 figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let n > 2 and let d < (n+1)/2. We prove that for a general hypersurface X of degree d in P^n, all the genus 0 Kontsevich moduli spaces M_{0,n}(X,e) are irreducible, reduced, local complete intersection stacks of the expected dimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-03-08T22:38:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N25",
      "14C05"
    ],
    "keywords": [
      "low degree",
      "rational curves",
      "local complete intersection stacks",
      "kontsevich moduli spaces",
      "general hypersurface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......3088H"
    }
  }
}