{
  "id": "1904.00969",
  "version": "v1",
  "published": "2019-04-01T17:11:50.000Z",
  "updated": "2019-04-01T17:11:50.000Z",
  "title": "Free quotients of fundamental groups of smooth quasi-projective varieties",
  "authors": [
    "Jose Ignacio Cogolludo",
    "Anatoly Libgober"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We consider the structure of classes of curves on a projective simply connected surface for which fundamental groups of the complements admit free quotients having rank greater than one with irreducible components belonging to a selected subset the effective cone of the surface. In particular we show a finiteness result for such classes if the ranks of free quotients of the fundamental groups with components in the subset of effective cone are sufficiently large.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-01T17:11:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fundamental groups",
      "smooth quasi-projective varieties",
      "complements admit free quotients",
      "effective cone",
      "components"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}