{
  "id": "1005.4761",
  "version": "v4",
  "published": "2010-05-26T08:56:37.000Z",
  "updated": "2012-04-28T20:16:46.000Z",
  "title": "Characteristic varieties of quasi-projective manifolds and orbifolds",
  "authors": [
    "Enrique Artal Bartolo",
    "Jose Ignacio Cogolludo-Agustin",
    "Daniel Matei"
  ],
  "comment": "33 pages, no figures. General rearrangement and proof of Proposition 4.2 is expanded",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that the irreducible components of the characteristic varieties of quasi-projective manifolds are either pull-backs of such components for orbifolds, or torsion points. This gives an interpretation for the so-called \\emph{translated} components of the characteristic varieties, and shows that the zero-dimensional components are indeed torsion. The main result is used to derive further obstructions for a group to be the fundamental group of a quasi-projective manifold.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-04-28T20:16:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58K65",
      "32S20",
      "32S50",
      "14B05",
      "14H30",
      "14H50"
    ],
    "keywords": [
      "characteristic varieties",
      "quasi-projective manifold",
      "torsion points",
      "zero-dimensional components",
      "main result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.4761A"
    }
  }
}