{
  "id": "math/0203009",
  "version": "v3",
  "published": "2002-03-01T12:44:21.000Z",
  "updated": "2002-10-22T08:30:57.000Z",
  "title": "Construction of t-structures and equivalences of derived categories",
  "authors": [
    "Leovigildo Alonso",
    "Ana Jeremias",
    "Ma. -Jose Souto"
  ],
  "comment": "Proof of 6.5 clarified, to appear in Trans. A.M.S., 22 pages",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "We associate a t-structure to a family of objects in D(A), the derived category of a Grothendieck category A. Using general results on t-structures, we give a new proof of Rickard's theorem on equivalence of bounded derived categories of modules. Also, we extend this result to bounded derived categories of quasi-coherent sheaves on separated divisorial schemes obtaining, in particular, Beilinson's equivalences.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-10-22T08:30:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E30",
      "14F05",
      "16D90"
    ],
    "keywords": [
      "derived category",
      "t-structure",
      "construction",
      "bounded derived categories",
      "quasi-coherent sheaves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......3009A"
    }
  }
}