{
  "id": "0904.1352",
  "version": "v2",
  "published": "2009-04-08T15:46:03.000Z",
  "updated": "2010-07-29T16:55:23.000Z",
  "title": "The classification of isotrivially fibred surfaces with p_g=q=2",
  "authors": [
    "Matteo Penegini"
  ],
  "comment": "Main paper by M.Penegini. Appendix by S.Rollenske. 31 pages, 6 Figures. v2 changed group relations in Theorem 5.2, changes in Theorem 5.7, new proof of Theorem 4.15, minor corrections of misprints",
  "categories": [
    "math.AG"
  ],
  "abstract": "An isotrivially fibred surface is a smooth projective surface endowed with a morphism onto a curve such that all the smooth fibres are isomorphic to each other. The first goal of this paper is to classify the isotrivially fibred surfaces with $p_g=q=2$ completing and extending a result of Zucconi. As an important byproduct, we provide new examples of minimal surfaces of general type with $p_g=q=2$ and $K^2=4,5$ and a first example with $K^2=6$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-07-29T16:55:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J10",
      "14J29",
      "14L30",
      "14Q99",
      "20H10",
      "30F99"
    ],
    "keywords": [
      "isotrivially fibred surface",
      "classification",
      "smooth projective surface",
      "first example",
      "general type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.1352P"
    }
  }
}