{
  "id": "1306.1208",
  "version": "v1",
  "published": "2013-06-05T19:07:44.000Z",
  "updated": "2013-06-05T19:07:44.000Z",
  "title": "Arc spaces of cA-type singularities",
  "authors": [
    "Jennifer M. Johnson",
    "János Kollár"
  ],
  "comment": "This paper supersedes arXiv:1207.5036",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study the space of arcs on a singularity of the form xy=f(z_1,..., z_n) and prove 2 main results. (i) The number of irreducible components equals the multiplicity of f minus 1. (ii) If n>1 and the leading homogeneous term of f is not a perfect square then the Nash map from the set of irreducible components to the set of essential divisors is not surjective.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-05T19:07:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E18",
      "14B05",
      "14J17",
      "14E15",
      "32S05"
    ],
    "keywords": [
      "singularity",
      "ca-type singularities",
      "arc spaces",
      "main results",
      "essential divisors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.1208J"
    }
  }
}