{
  "id": "1502.04621",
  "version": "v1",
  "published": "2015-02-16T16:45:11.000Z",
  "updated": "2015-02-16T16:45:11.000Z",
  "title": "Godeaux surfaces with an Enriques involution and some stable degenerations",
  "authors": [
    "Margarida Mendes Lopes",
    "Rita Pardini"
  ],
  "comment": "To appear in the proceedings of the conference \"Homage to Corrado Segre.\"",
  "categories": [
    "math.AG"
  ],
  "abstract": "We give an explicit description of the Godeaux surfaces that admit an involution such that the quotient surface is birational to an Enriques surface; these surfaces give a 6-dimensional unirational irreducible subset of the moduli space of surfaces of general type. In addition, we describe the Enriques surfaces that are birational to the quotient of a Godeaux surface by an involution and we show that they give a 5-dimensional unirational irreducible subset of the moduli space of Enriques surfaces. Finally, by degenerating our description we obtain some examples of non-normal stable Godeaux surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-16T16:45:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J29",
      "14J28",
      "14J10"
    ],
    "keywords": [
      "enriques involution",
      "stable degenerations",
      "enriques surface",
      "unirational irreducible subset",
      "moduli space"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}