{
  "id": "1308.2379",
  "version": "v1",
  "published": "2013-08-11T11:14:26.000Z",
  "updated": "2013-08-11T11:14:26.000Z",
  "title": "Fano threefolds with 2-torus action - a picture book",
  "authors": [
    "Hendrik Süß"
  ],
  "comment": "26 pages, 44 figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "Following the work of Altmann and Hausen we give a combinatorial description in terms for smooth Fano threefolds admitting a 2-torus action. We show that a whole variety of properties and invariants can be read off from this description. As an application we prove and disprove the existence of Kahler-Einstein metrics for some of these Fano threefolds, calculate their Cox rings and some of their toric canonical degenerations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-11T11:14:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L30",
      "14M25",
      "14J45"
    ],
    "keywords": [
      "picture book",
      "combinatorial description",
      "smooth fano threefolds admitting",
      "toric canonical degenerations",
      "kahler-einstein metrics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.2379S"
    }
  }
}