{
  "id": "2010.09615",
  "version": "v1",
  "published": "2020-10-19T15:56:11.000Z",
  "updated": "2020-10-19T15:56:11.000Z",
  "title": "An upper bound on the topological complexity of discriminantal varieties",
  "authors": [
    "Andrea Bianchi"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "We give an upper bound on the topological complexity of varieties $\\mathcal{V}$ obtained as complements in $\\mathbb{C}^m$ of the zero locus of a polynomial. As an application, we determine the topological complexity of unordered configuration spaces of the plane.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-19T15:56:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55M30",
      "55R80",
      "14L30"
    ],
    "keywords": [
      "topological complexity",
      "upper bound",
      "discriminantal varieties",
      "unordered configuration spaces",
      "zero locus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}