{
  "id": "1607.05743",
  "version": "v1",
  "published": "2016-07-19T20:10:12.000Z",
  "updated": "2016-07-19T20:10:12.000Z",
  "title": "Characterization of projective spaces by Seshadri constants",
  "authors": [
    "Yuchen Liu",
    "Ziquan Zhuang"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that an $n$-dimensional complex projective variety is isomorphic to $\\mathbb{P}^n$ if the Seshadri constant of the anti-canonical divisor at some smooth point is greater than $n$. We also classify complex projective varieties with Seshadri constants equal to $n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-19T20:10:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "projective spaces",
      "characterization",
      "dimensional complex projective variety",
      "seshadri constants equal",
      "smooth point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}