{
  "id": "2205.06289",
  "version": "v1",
  "published": "2022-05-12T18:06:55.000Z",
  "updated": "2022-05-12T18:06:55.000Z",
  "title": "A remark on the Castelnuovo-Mumford regularity of powers of ideal sheaves",
  "authors": [
    "Shijie Shang"
  ],
  "comment": "7 pages, to appear in the Journal of Pure and Applied Algebra",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that a bound of the Castelnuovo-Mumford regularity of any power of the ideal sheaf of a smooth projective complex variety $X\\subseteq\\mathbb{P}^r$ is sharp exactly for complete intersections, provided the variety $X$ is cut out scheme-theoretically by several hypersurfaces in $\\mathbb{P}^r$. This generalizes a result of Bertram-Ein-Lazarsfeld.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-12T18:06:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "castelnuovo-mumford regularity",
      "ideal sheaf",
      "smooth projective complex variety",
      "complete intersections",
      "hypersurfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}