{
  "id": "1910.13862",
  "version": "v1",
  "published": "2019-10-28T21:59:46.000Z",
  "updated": "2019-10-28T21:59:46.000Z",
  "title": "A functorial approach to categorical resolutions",
  "authors": [
    "R. Hafezi",
    "M. H. Keshavarz"
  ],
  "comment": "Accepted for publications in Science China Mathematics, October 23, 2019. arXiv admin note: substantial text overlap with arXiv:1701.00073",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "Using a relative version of Auslander's formula, we give a functorial approach to show that the bounded derived category of every Artin algebra admits a categorical resolution. This, in particular, implies that the bounded derived categories of Artin algebras of finite global dimension determine bounded derived categories of all Artin algebras. Hence, this paper can be considered as a typical application of functor categories, introduced in representation theory by Auslander, to categorical resolutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-28T21:59:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "categorical resolution",
      "bounded derived category",
      "functorial approach",
      "finite global dimension determine",
      "artin algebra admits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}