{
  "id": "math/0503294",
  "version": "v3",
  "published": "2005-03-15T13:18:48.000Z",
  "updated": "2006-10-19T17:28:33.000Z",
  "title": "Fibrations of low genus, I",
  "authors": [
    "Fabrizio Catanese",
    "Roberto Pignatelli"
  ],
  "comment": "50 pages, to appear on Annales Scientifiques de l'Ecole Normale Superieure",
  "categories": [
    "math.AG"
  ],
  "abstract": "In the present paper we consider fibrations $f: S \\ra B$ of an algebraic surface onto a curve $B$, with general fibre a curve of genus $g$. Our main results are: 1) A structure theorem for such fibrations in the case $g=2$ 2) A structure theorem for such fibrations in the case $g=3$ and general fibre nonhyperelliptic 3) A theorem giving a complete description of the moduli space of minimal surfaces of general type with $ K^2_S = 3, p_g = q=1$, showing in particular that it has four unirational connected components 4) some other applications of the two structure theorems.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-10-19T17:28:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D06",
      "14J29",
      "11G30"
    ],
    "keywords": [
      "low genus",
      "fibrations",
      "structure theorem",
      "general fibre nonhyperelliptic",
      "unirational connected components"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3294C"
    }
  }
}