{
  "id": "1203.5665",
  "version": "v1",
  "published": "2012-03-26T13:52:12.000Z",
  "updated": "2012-03-26T13:52:12.000Z",
  "title": "Automorphism groups of positive entropy on projective threefolds",
  "authors": [
    "Frederic Campana",
    "Fei Wang",
    "De-Qi Zhang"
  ],
  "comment": "Transactions of the American Mathematical Society (to appear)",
  "categories": [
    "math.DS",
    "math.AG"
  ],
  "abstract": "We prove two results about the natural representation of a group G of automorphisms of a normal projective threefold X on its second cohomology. We show that if X is minimal then G, modulo a normal subgroup of null entropy, is embedded as a Zariski-dense subset in a semi-simple real linear algebraic group of real rank < 3. Next, we show that X is a complex torus if the image of G is an almost abelian group of positive rank and the kernel is infinite, unless X is equivariantly non-trivially fibred.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-26T13:52:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32H50",
      "14J50",
      "32M05",
      "37B40"
    ],
    "keywords": [
      "projective threefold",
      "automorphism groups",
      "positive entropy",
      "semi-simple real linear algebraic group",
      "second cohomology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.5665C"
    }
  }
}