{
  "id": "2202.08565",
  "version": "v1",
  "published": "2022-02-17T10:23:10.000Z",
  "updated": "2022-02-17T10:23:10.000Z",
  "title": "Veronese varieties and Hilbert functions",
  "authors": [
    "Stefano Canino",
    "Enrico Carlini"
  ],
  "comment": "22 pages",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "In this paper we characterize all possible Hilbert functions of reduced subavrieties of Veronese varieties. In particular, we get an effective description in the case of Veronese curves and surfaces. In these cases we also describe all possible reduced complete intersection subvarieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-17T10:23:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N05",
      "13D40"
    ],
    "keywords": [
      "hilbert functions",
      "veronese varieties",
      "reduced complete intersection subvarieties",
      "veronese curves",
      "effective description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}