{
  "id": "1810.07626",
  "version": "v1",
  "published": "2018-10-17T15:41:21.000Z",
  "updated": "2018-10-17T15:41:21.000Z",
  "title": "Smoothness of Derived Categories of Algebras",
  "authors": [
    "Alexey Elagin",
    "Valery A. Lunts",
    "Olaf M. Schnürer"
  ],
  "comment": "31 pages, comments welcome",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "We prove smoothness in the dg sense of the bounded derived category of finitely generated modules over any finite-dimensional algebra over a perfect field, hereby answering a question of Iyama. More generally, we prove this statement for any algebra over a perfect field that is finite over its center and whose center is finitely generated as an algebra. These results are deduced from a general sufficient criterion for smoothness.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-17T15:41:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "smoothness",
      "perfect field",
      "general sufficient criterion",
      "finite-dimensional algebra",
      "dg sense"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}