{
  "id": "math/9804075",
  "version": "v1",
  "published": "1998-04-15T22:25:04.000Z",
  "updated": "1998-04-15T22:25:04.000Z",
  "title": "Rational Curves on K3 Surfaces",
  "authors": [
    "Xi Chen"
  ],
  "comment": "34 pages, AMSLatex, To Appear on JAG",
  "categories": [
    "math.AG"
  ],
  "abstract": "We proved the existence of rational curves in every linear system on a general K3 surface and that all rational curves in the hyperplane class are nodal on a general K3 surface of small genus.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-04-15T22:25:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H45",
      "14D15"
    ],
    "keywords": [
      "rational curves",
      "general k3 surface",
      "linear system",
      "hyperplane class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......4075C"
    }
  }
}