{
  "id": "math/9804142",
  "version": "v1",
  "published": "1998-04-30T10:29:57.000Z",
  "updated": "1998-04-30T10:29:57.000Z",
  "title": "On the Variety of Rational Curves of Degree $d$ in $\\Bbb P^n$",
  "authors": [
    "Pavel Katsylo"
  ],
  "comment": "5 pages, AmsTex",
  "categories": [
    "math.AG"
  ],
  "abstract": "We construct the canonical structure of an irreducible projective variety on the set of connected curves of degree $d$ in $\\Bbb P^n$ with rational components (some components can be multiple). The set of rational curves is open subset in the Zariski topology under this structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-04-30T10:29:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rational curves",
      "zariski topology",
      "open subset",
      "rational components",
      "connected curves"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......4142K"
    }
  }
}