{
  "id": "1209.6278",
  "version": "v1",
  "published": "2012-09-27T16:37:46.000Z",
  "updated": "2012-09-27T16:37:46.000Z",
  "title": "Notes on hyperelliptic fibrations of genus 3, I",
  "authors": [
    "Masaaki Murakami"
  ],
  "comment": "28 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We shall study the structure of hyperelliptic fibrations of genus 3, from the view point given by Catanese and Pignatelli in arXiv:math/0503294. In this part I, we shall give a structure theorem for such fibrations for the case of f : S \\to B with all fibers 2-connected. We shall also give, for the case of B projective line, sufficient conditions for the existence of such fibrations from the view point of our structure theorem, prove the uniqueness of the deformation type and the simply connectedness of S for some cases, and give some examples including those with minimal regular S with geometric genus 4 and the first Chern number 8. The last example turns out to be a member of the family M_0 given in Bauer--Pignatelli arXiv:math/0603094.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-27T16:37:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J29",
      "14D06"
    ],
    "keywords": [
      "hyperelliptic fibrations",
      "view point",
      "structure theorem",
      "example turns",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.6278M"
    }
  }
}