{
  "id": "math/0212015",
  "version": "v1",
  "published": "2002-12-02T11:41:12.000Z",
  "updated": "2002-12-02T11:41:12.000Z",
  "title": "Semi-Continuity for Derived Categories",
  "authors": [
    "Yuriy A. Drozd"
  ],
  "comment": "8 pages, 2 figures",
  "categories": [
    "math.RT"
  ],
  "abstract": "We prove that the number of parameters defining a complex of projective modules over a finite dimensional algebra is upper semi-continuous in families of algebras. Supposing that every algebra is either derived tame or derived wild, we get that a degeneration of a derived wild algebra is derived wild too. We also explain why the so-called counter-example of Bruestle is in fact not a counter-example.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-12-02T11:41:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "derived categories",
      "semi-continuity",
      "finite dimensional algebra",
      "derived wild algebra",
      "counter-example"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....12015D"
    }
  }
}