{
  "id": "1511.02598",
  "version": "v1",
  "published": "2015-11-09T08:40:11.000Z",
  "updated": "2015-11-09T08:40:11.000Z",
  "title": "Rational curves of degree four with two inner Galois points",
  "authors": [
    "Satoru Fukasawa"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We characterize plane rational curves of degree four with two or more inner Galois points. A computer verifies the existence of plane rational curves of degree four with three inner Galois points. This would be the first example of a curve with exactly three them. Our result implies that Miura's bound is sharp for rational curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-09T08:40:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H50"
    ],
    "keywords": [
      "inner galois points",
      "characterize plane rational curves",
      "computer verifies",
      "first example",
      "result implies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151102598F"
    }
  }
}