{
  "id": "0905.2054",
  "version": "v2",
  "published": "2009-05-13T13:15:41.000Z",
  "updated": "2010-09-06T22:12:10.000Z",
  "title": "Examples of non-symmetric Kähler-Einstein toric Fano manifolds",
  "authors": [
    "Benjamin Nill",
    "Andreas Paffenholz"
  ],
  "comment": "AMS-LaTeX, 8 pages; final version (references updated)",
  "categories": [
    "math.AG",
    "math.CO",
    "math.DG"
  ],
  "abstract": "In this note we report on examples of 7- and 8-dimensional toric Fano manifolds that are not symmetric and still admit a Kaehler-Einstein metric. This answers a question first posed by V.V. Batyrev and E. Selivanova. The examples were found in the classification of toric Fano manifolds up to dimension 8 obtained by M. Oebro. We also discuss related open questions and conjectures.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-06T22:12:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J45",
      "14M25",
      "32Q20",
      "52B20",
      "53C25"
    ],
    "keywords": [
      "non-symmetric kähler-einstein toric fano manifolds",
      "kaehler-einstein metric",
      "question first",
      "related open questions"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.2054N"
    }
  }
}