{
  "id": "1607.08199",
  "version": "v1",
  "published": "2016-07-27T17:52:31.000Z",
  "updated": "2016-07-27T17:52:31.000Z",
  "title": "Bridgeland Stability Conditions on Fano Threefolds",
  "authors": [
    "Marcello Bernardara",
    "Emanuele Macrì",
    "Benjamin Schmidt",
    "Xiaolei Zhao"
  ],
  "comment": "23 pages, 1 figure",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show the existence of Bridgeland stability conditions on all Fano threefolds, by proving a modified version of a conjecture by Bayer, Toda, and the second author. The key technical ingredient is a strong Bogomolov inequality, proved recently by Chunyi Li. Additionally, we prove the original conjecture for some toric threefolds by using the toric Frobenius morphism.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-27T17:52:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "14J30",
      "18E30"
    ],
    "keywords": [
      "bridgeland stability conditions",
      "fano threefolds",
      "strong bogomolov inequality",
      "toric frobenius morphism",
      "original conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}