{
  "id": "1109.2349",
  "version": "v1",
  "published": "2011-09-11T20:16:59.000Z",
  "updated": "2011-09-11T20:16:59.000Z",
  "title": "Equidistribution of varieties for endomorphisms of projective spaces",
  "authors": [
    "Tien-Cuong Dinh",
    "Nessim Sibony"
  ],
  "comment": "11 pages, to appear in Vietnam J. Math., the volume in honor of Professor Ha Huy Khoai",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "Let f be a non-invertible holomorphic endomorphism of the complex projective space P^k and f^n its iterate of order n. Let V be an algebraic subvariety of P^k which is generic in the Zariski sense. We give here a survey on the asymptotic equidistribution of the sequence $f^{-n}(V)$ when n goes to infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-11T20:16:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex projective space",
      "non-invertible holomorphic endomorphism",
      "algebraic subvariety",
      "zariski sense",
      "asymptotic equidistribution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.2349D"
    }
  }
}