{
  "id": "1409.3403",
  "version": "v1",
  "published": "2014-09-11T11:38:46.000Z",
  "updated": "2014-09-11T11:38:46.000Z",
  "title": "On maps taking lines to plane curves",
  "authors": [
    "Vsevolod Petrushchenko",
    "Vladlen Timorin"
  ],
  "comment": "18 pages, 6 figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study cubic rational maps that take lines to plane curves. A complete description of such cubic rational maps concludes the classification of all planarizations, i.e., maps taking lines to plane curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-11T11:38:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H50",
      "51A99",
      "51N15"
    ],
    "keywords": [
      "plane curves",
      "study cubic rational maps",
      "cubic rational maps concludes",
      "complete description",
      "planarizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.3403P"
    }
  }
}