{
  "id": "1307.5490",
  "version": "v2",
  "published": "2013-07-21T02:04:18.000Z",
  "updated": "2013-10-26T13:05:46.000Z",
  "title": "Birational automorphism groups of projective varieties of Picard number two",
  "authors": [
    "De-Qi Zhang"
  ],
  "comment": "title slightly changed to this; some proof simplified; submitted to the Proceedings of Groups of Automorphisms in Birational and Affine Geometry, 28 October - 3 November 2012, C.I.R.M., Trento, Italy",
  "categories": [
    "math.AG",
    "math.DS"
  ],
  "abstract": "We slightly extend a result of Oguiso on birational or automorphism groups (resp. of Lazi\\'c - Peternell on Morrison-Kawamata cone conjecture) from Calabi-Yau manifolds of Picard number two to arbitrary singular varieties X (resp. to klt Calabi-Yau pairs in broad sense) of Picard number two. When X has only klt singularities and is not a complex torus, we show that either Aut(X) is almost cyclic, or it has only finitely many connected components.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-26T13:05:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J50",
      "14E07",
      "32H50"
    ],
    "keywords": [
      "picard number",
      "birational automorphism groups",
      "projective varieties",
      "klt calabi-yau pairs",
      "morrison-kawamata cone conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.5490Z"
    }
  }
}