{
  "id": "math/9902037",
  "version": "v1",
  "published": "1999-02-04T20:32:44.000Z",
  "updated": "1999-02-04T20:32:44.000Z",
  "title": "Irrational Asymptotic Behaviour of Castelnuovo-Mumford Regularity",
  "authors": [
    "Steven Dale Cutkosky"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "We give examples of nonsingular curves in projective 3 space such that the regularity of powers of their ideal sheaves are highly nonlinear. This is in constrast to the case of an ideal I in a polynomial ring, where the regularity of I^n is a linear polynomial in n for large n.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-02-04T20:32:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B15",
      "14C40",
      "13D45"
    ],
    "keywords": [
      "irrational asymptotic behaviour",
      "castelnuovo-mumford regularity",
      "nonsingular curves",
      "ideal sheaves",
      "linear polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......2037C"
    }
  }
}