{
  "id": "2302.05054",
  "version": "v1",
  "published": "2023-02-10T05:18:01.000Z",
  "updated": "2023-02-10T05:18:01.000Z",
  "title": "A localisation theorem for singularity categories of proper dg algebras",
  "authors": [
    "Haibo Jin",
    "Dong Yang",
    "Guodong Zhou"
  ],
  "comment": "24 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Given a recollement of three proper dg algebras, e.g. three finite-dimensional algebras, which extends one step downwards, it is shown that there is a short exact sequence of their singularity categories. This allows us to recover and generalise some known results on singularity categories of finite-dimensional algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-10T05:18:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "proper dg algebras",
      "singularity categories",
      "localisation theorem",
      "finite-dimensional algebras",
      "short exact sequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}