{
  "id": "1310.0299",
  "version": "v2",
  "published": "2013-10-01T13:59:35.000Z",
  "updated": "2015-11-22T22:12:34.000Z",
  "title": "Fourier-Mukai Transforms and Bridgeland Stability Conditions on Abelian Threefolds II",
  "authors": [
    "Antony Maciocia",
    "Dulip Piyaratne"
  ],
  "comment": "24 pages, Spurious part of Props 5.5. and 5.6 removed and text adjusted. Contact details and references updated. Additional explanations added to note 3.2 and several minor corrections made following the referee's suggestions. To appear in Inter. J. Math",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that the conjectural construction proposed by Bayer, Bertram, Macr\\'i and Toda gives rise to Bridgeland stability conditions for a principally polarized abelian three-fold with Picard rank one by proving that tilt stable objects satisfy the strong Bogomolov-Gieseker type inequality. This is done by showing any Fourier-Mukai transform gives an equivalence of abelian categories which are double tilts of coherent sheaves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-01T13:59:35.000Z",
      "comment": "23 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-11-22T22:12:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "14J30",
      "14J32",
      "14J60",
      "14K99",
      "18E30",
      "18E35",
      "18E40"
    ],
    "keywords": [
      "bridgeland stability conditions",
      "fourier-mukai transform",
      "abelian threefolds",
      "strong bogomolov-gieseker type inequality",
      "tilt stable objects satisfy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.0299M"
    }
  }
}