{
  "id": "1304.0302",
  "version": "v2",
  "published": "2013-04-01T06:58:36.000Z",
  "updated": "2014-11-24T02:16:22.000Z",
  "title": "The characterization of Hermitian surfaces by the number of points",
  "authors": [
    "Masaaki Homma",
    "Seon Jeong Kim"
  ],
  "comment": "Added an appendix: We gave an example of a surface which has the same zeta function as the Hermitian surface's, but is not Hermitian",
  "categories": [
    "math.AG"
  ],
  "abstract": "The nonsingular Hermitian surface of degree $\\sqrt{q} +1$ is characterized by its number of $\\Bbb{F}_q$-points among the irreducible surfaces over $\\Bbb{F}_q$ of degree $\\sqrt{q} +1$ in the projective 3-space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-01T06:58:36.000Z",
      "comment": "10 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-11-24T02:16:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G25",
      "14G15",
      "14J70",
      "14N05"
    ],
    "keywords": [
      "characterization",
      "nonsingular hermitian surface",
      "irreducible surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.0302H"
    }
  }
}