{
  "id": "0710.0279",
  "version": "v2",
  "published": "2007-10-01T12:48:56.000Z",
  "updated": "2008-04-17T10:44:38.000Z",
  "title": "Zariski $k$-plets via dessins d'enfants",
  "authors": [
    "Alex Degtyarev"
  ],
  "comment": "Final version accepted for publication",
  "journal": "Comment. Math. Helv., 84:3 (2009) 639--671",
  "categories": [
    "math.AG"
  ],
  "abstract": "We construct exponentially large collections of pairwise distinct equisingular deformation families of irreducible plane curves sharing the same sets of singularities. The fundamental groups of all curves constructed are abelian.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-04-17T10:44:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H50",
      "14H30",
      "14D05"
    ],
    "keywords": [
      "dessins denfants",
      "pairwise distinct equisingular deformation families",
      "construct exponentially large collections",
      "irreducible plane curves"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.0279D"
    }
  }
}