{
  "id": "math/0501318",
  "version": "v2",
  "published": "2005-01-20T09:24:00.000Z",
  "updated": "2008-03-20T13:30:18.000Z",
  "title": "The fundamental group of Galois cover of the surface ${\\mathbb T} \\times {\\mathbb T}$",
  "authors": [
    "Meirav Amram",
    "Mina Teicher",
    "Uzi Vishne"
  ],
  "comment": "30 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "This is the final paper in a series of four, concerning the surface $T \\times T$ embedded in $\\mathbb{CP}^8$, where $T$ is a the one dimensional torus. In this paper we compute the fundamental group of the Galois cover of the surface with respect to a generic projection onto $\\mathbb{CP}^2$, and show that it is nilpotent of class 3. This is the first time such a group is presented as the fundamental group of a Galois cover of a surface.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-03-20T13:30:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J10",
      "14J25"
    ],
    "keywords": [
      "galois cover",
      "fundamental group",
      "first time",
      "dimensional torus",
      "generic projection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1318A"
    }
  }
}