{
  "id": "0904.4604",
  "version": "v1",
  "published": "2009-04-29T13:29:01.000Z",
  "updated": "2009-04-29T13:29:01.000Z",
  "title": "On minimal disjoint degenerations of modules over tame path algebras",
  "authors": [
    "Klaus Bongartz",
    "Guido Frank",
    "Isabel Wolters"
  ],
  "comment": "33 pages, 2 figures, 2 tables",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "We study minimal disjoint degenerations for representations of tame quivers. In particular, we prove that their codimensions are bounded by 2. Therefore a quiver is Dynkin resp. Euclidean resp. wild iff the codimensions are 1 resp. bounded by 2 resp. unbounded. We explain also that for tame quivers the complete classification of all minimal disjoint degenerations is a finite problem that can be solved with the help of a computer.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-29T13:29:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "16G60",
      "14L30"
    ],
    "keywords": [
      "tame path algebras",
      "tame quivers",
      "study minimal disjoint degenerations",
      "codimensions",
      "dynkin resp"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.4604B"
    }
  }
}