{
  "id": "1601.04054",
  "version": "v1",
  "published": "2016-01-15T20:29:36.000Z",
  "updated": "2016-01-15T20:29:36.000Z",
  "title": "The No Gap Conjecture for tame hereditary algebras",
  "authors": [
    "Stephen Hermes",
    "Kiyoshi Igusa"
  ],
  "comment": "13 pages, 3 figures",
  "categories": [
    "math.RT"
  ],
  "abstract": "The \"No Gap Conjecture\" of Br\\\"ustle-Dupont-P\\'erotin states that the set of lengths of maximal green sequences for hereditary algebras over an algebraically closed field has no gaps. This follows from a stronger conjecture that any two maximal green sequences can be \"polygonally deformed\" into each other. We prove this stronger conjecture for all tame hereditary algebras over any field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-15T20:29:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "20F55"
    ],
    "keywords": [
      "tame hereditary algebras",
      "gap conjecture",
      "maximal green sequences",
      "stronger conjecture",
      "algebraically closed field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}