{
  "id": "1212.0996",
  "version": "v2",
  "published": "2012-12-05T11:39:37.000Z",
  "updated": "2013-08-19T17:54:31.000Z",
  "title": "On plane Cremona transformations of fixed degree",
  "authors": [
    "Cinzia Bisi",
    "Alberto Calabri",
    "Massimiliano Mella"
  ],
  "comment": "18 pages, removed section 3, corrected a mistake and some typos, accepted for publication on the Journal of Geometric Analysis",
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "We study the quasi-projective variety Bir_d of plane Cremona transformations defined by three polynomials of fixed degree d and its subvariety Bir_d^o where the three polynomials have no common factor. We compute their dimension and the decomposition in irreducible components. We prove that Bir_d is connected for each d and Bir_d^o is connected when d < 7.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-08-19T17:54:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E07"
    ],
    "keywords": [
      "fixed degree",
      "plane cremona transformations",
      "polynomials",
      "common factor",
      "quasi-projective variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.0996B"
    }
  }
}