{
  "id": "math/0308208",
  "version": "v1",
  "published": "2003-08-22T05:46:56.000Z",
  "updated": "2003-08-22T05:46:56.000Z",
  "title": "Hilbert functions of irreducible arithmetically Gorenstein schemes",
  "authors": [
    "Nero Budur",
    "Marta Casanellas",
    "Elisa Gorla"
  ],
  "comment": "17 pages, to appear in Journal of Algebra",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "In this paper we compute the Hilbert functions of irreducible (or smooth) and reduced arithmetically Gorenstein schemes that are twisted anti-canonical divisors on arithmetically Cohen-Macaulay schemes. We also prove some folklore results characterizing the Hilbert functions of irreducible standard determinantal schemes, and we use them to produce a new class of functions that occur as Hilbert functions of irreducible (or smooth) and reduced arithmetically Gorenstein schemes in any codimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-08-22T05:46:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M05"
    ],
    "keywords": [
      "hilbert functions",
      "irreducible arithmetically gorenstein schemes",
      "reduced arithmetically gorenstein schemes",
      "irreducible standard determinantal schemes",
      "folklore results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......8208B"
    }
  }
}