{
  "id": "1506.02878",
  "version": "v1",
  "published": "2015-06-09T12:13:56.000Z",
  "updated": "2015-06-09T12:13:56.000Z",
  "title": "An axiomatic approach for degenerations in triangulated categories",
  "authors": [
    "Manuel Saorin",
    "Alexander Zimmermann"
  ],
  "categories": [
    "math.RT",
    "math.CT",
    "math.RA"
  ],
  "abstract": "We generalise Yoshino's definition of a degeneration of two Cohen Macaulay modules to a definition of degeneration between two objects in a triangulated category. We derive some natural properties for the triangulated category and the degeneration under which the Yoshino-style degeneration is equivalent to the degeneration defined by a specific distinguished triangle analogous to Zwara's characterisation of degeneration in module varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-09T12:13:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "triangulated category",
      "axiomatic approach",
      "generalise yoshinos definition",
      "cohen macaulay modules",
      "natural properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150602878S"
    }
  }
}