{
  "id": "math/0404138",
  "version": "v2",
  "published": "2004-04-06T16:36:13.000Z",
  "updated": "2004-04-13T18:08:34.000Z",
  "title": "Hilbert functions and geometry",
  "authors": [
    "Fabre Bruno"
  ],
  "comment": "26 pages, in French, corrected typos",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "This note is devoted to the study of the links between the Hilbert function of a subscheme X of the projective space, and its geometric properties. We will assume that X is arithmetically Cohen-Macaulay, which allows us to characterize its Hilbert function by a d integers, where d is the degree of X. We study in this context the geometric description of special linear systems of dimension maximal with respect to their degree on projective Gorenstein curves.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-04-13T18:08:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C20",
      "13A02"
    ],
    "keywords": [
      "hilbert function",
      "special linear systems",
      "geometric description",
      "geometric properties",
      "dimension maximal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "fr",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......4138B"
    }
  }
}