{
  "id": "math/0410554",
  "version": "v1",
  "published": "2004-10-26T12:46:19.000Z",
  "updated": "2004-10-26T12:46:19.000Z",
  "title": "Higher degree Galois covers of CP^1 x T",
  "authors": [
    "Meirav Amram",
    "David Goldberg"
  ],
  "comment": "Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-37.abs.html",
  "journal": "Algebr. Geom. Topol. 4 (2004) 841-859",
  "categories": [
    "math.AG",
    "math.GT"
  ],
  "abstract": "Let T be a complex torus, and X the surface CP^1 x T. If T is embedded in CP^{n-1} then X may be embedded in CP^{2n-1}. Let X_Gal be its Galois cover with respect to a generic projection to CP^2. In this paper we compute the fundamental group of X_Gal, using the degeneration and regeneration techniques, the Moishezon-Teicher braid monodromy algorithm and group calculations. We show that pi_1(X_Gal) = Z^{4n-2}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-26T12:46:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14Q10",
      "14J80",
      "32Q55"
    ],
    "keywords": [
      "higher degree galois covers",
      "moishezon-teicher braid monodromy algorithm",
      "regeneration techniques",
      "fundamental group",
      "complex torus"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}