{
  "id": "math/0509649",
  "version": "v2",
  "published": "2005-09-28T01:18:41.000Z",
  "updated": "2006-03-15T23:05:57.000Z",
  "title": "Note on characterizations of projective spaces",
  "authors": [
    "Jiun-Cheng Chen",
    "Hsian-Hua Tseng"
  ],
  "comment": "Revised introduction, stronger result in dimension three presented",
  "journal": "Comm. in Algebra, Volume 35 (2007), Issue 11, 3808--3819.",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove a numerical characterization of $\\mathbb{P}^n$ for varieties with at worst isolated local complete intersection quotient singularities. In dimension three, we prove such a numerical characterization of $\\mathbb{P}^3$ for normal $\\mathbb{Q}$-Gorenstein projective varieties.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-03-15T23:05:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "projective spaces",
      "characterization",
      "local complete intersection quotient singularities",
      "worst isolated local complete intersection",
      "isolated local complete intersection quotient"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9649C"
    }
  }
}