{
  "id": "1804.06980",
  "version": "v1",
  "published": "2018-04-19T02:25:11.000Z",
  "updated": "2018-04-19T02:25:11.000Z",
  "title": "On tubular tilting objects in the stable category of vector bundles",
  "authors": [
    "Jianmin Chen",
    "Yanan Lin",
    "Shiquan Ruan"
  ],
  "comment": "19 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "The present paper focuses on the study of the stable category of vector bundles for the weighted projective lines of weight tripe. We find some important triangles in this category and use them to construct tilting objects with tubular endomorphism algebras for the case of genus one via cluster tilting theory. Combining with the work on [6], we actually realize the construction of a tubular tilting object for each weighted projective line of genus one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-19T02:25:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14A22",
      "14F05",
      "16G70",
      "16S99",
      "18E30"
    ],
    "keywords": [
      "tubular tilting object",
      "vector bundles",
      "stable category",
      "weighted projective line",
      "tubular endomorphism algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}