{
  "id": "2105.02181",
  "version": "v1",
  "published": "2021-05-05T16:48:59.000Z",
  "updated": "2021-05-05T16:48:59.000Z",
  "title": "Some examples of algebraic surfaces with canonical map of degree 20",
  "authors": [
    "Nguyen Bin"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "In this note, we construct two minimal surfaces of general type with geometric genus p_g= 3, irregularity q = 0, self-intersection of the canonical divisor K^22 =20,24 such that their canonical map is of degree 20. In one of these surfaces, the canonical linear system has a non-trivial fixed part. These surfaces, to our knowledge, are the first examples of minimal surfaces of general type with canonical map of degree 20.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-05T16:48:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J29"
    ],
    "keywords": [
      "canonical map",
      "algebraic surfaces",
      "minimal surfaces",
      "general type",
      "first examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}