{
  "id": "math/0507583",
  "version": "v2",
  "published": "2005-07-28T09:36:10.000Z",
  "updated": "2006-02-02T21:45:57.000Z",
  "title": "Regularity bounds for curves by minimal generators and Hilbert function",
  "authors": [
    "Francesca Cioffi",
    "Maria Grazia Marinari",
    "Luciana Ramella"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "Let $\\rho_C$ be the regularity of the Hilbert function of a projective curve $C$ in $\\mathbb P^n_K$ over an algebraically closed field $K$ and $\\alpha_1,...,\\alpha_{n-1}$ be minimal degrees for which there exists a complete intersection of type $(\\alpha_1,...,\\alpha_{n-1})$ containing the curve $C$. Then the Castelnuovo-Mumford regularity of $C$ is upper bounded by $\\max\\{\\rho_C+1,\\alpha_1+...+\\alpha_{n-1}-(n-2)\\}$. We study and, for space curves, refine the above bound providing several examples.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-02-02T21:45:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F17",
      "14H50"
    ],
    "keywords": [
      "hilbert function",
      "minimal generators",
      "regularity bounds",
      "minimal degrees",
      "complete intersection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......7583C"
    }
  }
}