{
  "id": "math/9809041",
  "version": "v1",
  "published": "1998-09-08T18:13:43.000Z",
  "updated": "1998-09-08T18:13:43.000Z",
  "title": "Fundamental Group for some Cuspidal Curves",
  "authors": [
    "Jose Ignacio Cogolludo"
  ],
  "comment": "10 pages, 2 figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "We construct a family of plane curves as pull-backs of a conic for abelian coverings of P^2. If the conic is tangent to the ramification lines one obtains a family of curves of degree 2n with 3n singularities of type A_{n-1}. We calculate the fundamental group and Alexander polynomial for any member of this family and for some deformations of it.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-09-08T18:13:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H20",
      "14H30",
      "14E20"
    ],
    "keywords": [
      "fundamental group",
      "cuspidal curves",
      "alexander polynomial",
      "abelian coverings",
      "plane curves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......9041C"
    }
  }
}