{
  "id": "1308.6811",
  "version": "v1",
  "published": "2013-08-30T17:56:58.000Z",
  "updated": "2013-08-30T17:56:58.000Z",
  "title": "Subadditivity of syzygies of Koszul algebras",
  "authors": [
    "Luchezar L. Avramov",
    "Aldo Conca",
    "Srikanth B. Iyengar"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AC",
    "math.AG"
  ],
  "abstract": "Estimates are obtained for the degrees of minimal syzygies of quotient algebras of polynomial rings. For a class that includes Koszul algebra in almost all characteristics, these degrees are shown to increase by at most 2 from one syzygy module to the next one. Even slower growth is proved if, in addition, the algebra satisfies Green and Lazarsfeld's condition N_q with q > 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-30T17:56:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13D02",
      "16S37"
    ],
    "keywords": [
      "koszul algebra",
      "subadditivity",
      "algebra satisfies green",
      "polynomial rings",
      "quotient algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.6811A"
    }
  }
}