{
  "id": "1001.3938",
  "version": "v2",
  "published": "2010-01-22T08:40:33.000Z",
  "updated": "2010-09-16T22:49:31.000Z",
  "title": "Stabilization of monomial maps",
  "authors": [
    "Mattias Jonsson",
    "Elizabeth Wulcan"
  ],
  "comment": "To appear in Michigan Math. J",
  "categories": [
    "math.DS",
    "math.AG"
  ],
  "abstract": "A monomial (or equivariant) selfmap of a toric variety is called stable if its action on the Picard group commutes with iteration. Generalizing work of Favre to higher dimensions, we show that under suitable conditions, a monomial map can be made stable by refining the underlying fan. In general, the resulting toric variety has quotient singularities; in dimension two we give criteria for when it can be chosen smooth, as well as examples when it cannot.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-16T22:49:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32H50",
      "14M25"
    ],
    "keywords": [
      "monomial map",
      "stabilization",
      "picard group commutes",
      "quotient singularities",
      "resulting toric variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.3938J"
    }
  }
}