{
  "id": "math/0602129",
  "version": "v2",
  "published": "2006-02-07T14:47:38.000Z",
  "updated": "2019-12-19T13:40:52.000Z",
  "title": "Derived categories of coherent sheaves",
  "authors": [
    "Tom Bridgeland"
  ],
  "comment": "Survey article for ICM 2006. This version corrects a mistake on page 14",
  "categories": [
    "math.AG"
  ],
  "abstract": "We discuss derived categories of coherent sheaves on algebraic varieties. We focus on the case of non-singular Calabi-Yau varieties and consider two unsolved problems: proving that birational varieties have equivalent derived categories, and computing the group of derived autoequivalences. We also introduce the space of stability conditions on a triangulated category and explain its relevance to these two problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-02-07T14:47:38.000Z",
      "comment": "Survey article for ICM 2006. Preliminary version; corrections and comments welcome",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2019-12-19T13:40:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coherent sheaves",
      "non-singular calabi-yau varieties",
      "stability conditions",
      "equivalent derived categories",
      "birational varieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2129B"
    }
  }
}