{
  "id": "0810.4675",
  "version": "v1",
  "published": "2008-10-26T09:58:46.000Z",
  "updated": "2008-10-26T09:58:46.000Z",
  "title": "Dynamics of automorphisms on projective complex manifolds",
  "authors": [
    "De-Qi Zhang"
  ],
  "comment": "Journal of Differential Geometry, to appear",
  "categories": [
    "math.AG",
    "math.DS"
  ],
  "abstract": "We show that the dynamics of automorphisms on all projective complex manifolds X (of dimension 3, or of any dimension but assuming the Good Minimal Model Program or Mori's Program) are canonically built up from the dynamics on just three types of projective complex manifolds: complex tori, weak Calabi-Yau manifolds and rationally connected manifolds. As a by-product, we confirm the conjecture of Guedj for automorphisms on 3-dimensional projective manifolds, and also determine pi_1(X).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-26T09:58:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J50",
      "14E07",
      "32H50"
    ],
    "keywords": [
      "projective complex manifolds",
      "automorphisms",
      "minimal model program",
      "weak calabi-yau manifolds",
      "moris program"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.4675Z"
    }
  }
}