{
  "id": "1707.07353",
  "version": "v1",
  "published": "2017-07-23T21:37:41.000Z",
  "updated": "2017-07-23T21:37:41.000Z",
  "title": "Derived equivalences induced by good silting complexes",
  "authors": [
    "Simion Breaz",
    "George Ciprian Modoi"
  ],
  "categories": [
    "math.RT",
    "math.CT"
  ],
  "abstract": "Consider a (possibly big) silting object $U$ in a derived category over a (dg-)algebra $A$. Under some fairly general appropriate hypotheses, we show that it induces derived equivalences between the derived category over $A$ and a localization of the derived category of dg-endomorphism algebra $B$ of $U$. If, in addition, $U$ is small then this localization is the whole derived category over $B$. We also study the way in which these equivalences restrict to some subcategories of module categories, providing a correspondent for the celebrated Tilting Theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-23T21:37:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16D90",
      "18E30",
      "16E30",
      "16E99"
    ],
    "keywords": [
      "silting complexes",
      "derived category",
      "fairly general appropriate hypotheses",
      "module categories",
      "induces derived equivalences"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}