{
  "id": "1211.5263",
  "version": "v2",
  "published": "2012-11-22T11:30:54.000Z",
  "updated": "2013-02-19T21:17:16.000Z",
  "title": "Skeleta of Affine Hypersurfaces",
  "authors": [
    "Helge Ruddat",
    "Nicolò Sibilla",
    "David Treumann",
    "Eric Zaslow"
  ],
  "comment": "41 pages, 3 figure",
  "categories": [
    "math.AG",
    "math.AT"
  ],
  "abstract": "A smooth affine hypersurface Z of complex dimension n is homotopy equivalent to an n-dimensional cell complex. Given a defining polynomial f for Z as well as a regular triangulation of its Newton polytope, we provide a purely combinatorial construction of a compact topological space S as a union of components of real dimension n, and prove that S embeds into Z as a deformation retract. In particular, Z is homotopy equivalent to S.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-19T21:17:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J70",
      "14R99",
      "55P10",
      "14M25",
      "14T05"
    ],
    "keywords": [
      "homotopy equivalent",
      "smooth affine hypersurface",
      "n-dimensional cell complex",
      "complex dimension",
      "regular triangulation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.5263R"
    }
  }
}