{
  "id": "math/0505231",
  "version": "v2",
  "published": "2005-05-11T20:44:01.000Z",
  "updated": "2006-02-14T18:08:37.000Z",
  "title": "The degree of the bicanonical map of a surface with $p_g=0$",
  "authors": [
    "Margarida Mendes Lopes",
    "Rita Pardini"
  ],
  "comment": "Final version to appear in Proceedings of the AMS",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this note it is shown that, given a smooth minimal complex surface of general type S with p_g(S)=0, K^2_S=3, for which the bicanonical map is a morphism, then the degree of the bicanonical map of S is not equal to 3. This completes our earlier results, showing that if X is a minimal surface of general type with p_g=0, K^2>=3 such that |2K_X| is free, then the bicanonical map of X can have degree 1, 2 or 4.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-02-14T18:08:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J29"
    ],
    "keywords": [
      "bicanonical map",
      "smooth minimal complex surface",
      "general type",
      "minimal surface",
      "earlier results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......5231M"
    }
  }
}