{
  "id": "math/0507087",
  "version": "v5",
  "published": "2005-07-05T10:27:13.000Z",
  "updated": "2007-03-26T09:45:29.000Z",
  "title": "Rational curves and ordinary differential equations",
  "authors": [
    "Benjamin McKay"
  ],
  "comment": "29 pages, 1 figure, v.2 more citations, v.3 more examples, v.4 minor corrections, v.5 minor corrections",
  "categories": [
    "math.DG",
    "math.CA"
  ],
  "abstract": "The systems of complex analytic second order ordinary differential equations whose solutions close up to become rational curves (after analytic continuation) are characterized by the vanishing of an explicit differential invariant, and turn out to provide an infinite dimensional family of integrable systems.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2007-03-26T09:45:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A55"
    ],
    "keywords": [
      "rational curves",
      "second order ordinary differential equations",
      "analytic second order ordinary differential",
      "complex analytic second order ordinary"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......7087M"
    }
  }
}