{
  "id": "2007.16169",
  "version": "v1",
  "published": "2020-07-31T16:42:23.000Z",
  "updated": "2020-07-31T16:42:23.000Z",
  "title": "Acylindrical hyperbolicity for Artin groups of dimension 2",
  "authors": [
    "Nicolas Vaskou"
  ],
  "comment": "21 pages, 6 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "In this paper, we show that every irreducible $2$-dimensional Artin group $A_{\\Gamma}$ of rank at least $3$ is acylindrically hyperbolic. We do this by applying a criterion of Martin to the action of $A_\\Gamma$ on its modified Deligne complex. Along the way, we prove results of independent interests on the geometry of links of this complex.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-31T16:42:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "20F65",
      "20F67"
    ],
    "keywords": [
      "acylindrical hyperbolicity",
      "dimensional artin group",
      "modified deligne complex",
      "independent interests"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}