{
  "id": "1111.3546",
  "version": "v2",
  "published": "2011-11-15T15:01:38.000Z",
  "updated": "2013-11-10T05:36:28.000Z",
  "title": "Pseudo-Automorphisms of positive entropy on the blowups of products of projective spaces",
  "authors": [
    "Fabio Perroni",
    "De-Qi Zhang"
  ],
  "comment": "Mathematische Annalen (to appear)",
  "categories": [
    "math.DS",
    "math.AG"
  ],
  "abstract": "We use a concise method to construct pseudo-automorphisms f_n of the first dynamical degree d_1(f_n) > 1 on the blowups of the projective n-space for all n > 1 and more generally on the blowups of products of projective spaces. These f_n, for n = 3 have positive entropy, and for n > 3 seem to be the first examples of pseudo-automorphisms with d_1(f_n) > 1 (and of non-product type) on rational varieties of higher dimensions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-10T05:36:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32H50",
      "14J50",
      "32M05",
      "37B40"
    ],
    "keywords": [
      "positive entropy",
      "projective spaces",
      "higher dimensions",
      "concise method",
      "rational varieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.3546P"
    }
  }
}