{
  "id": "1107.1221",
  "version": "v5",
  "published": "2011-07-06T18:48:56.000Z",
  "updated": "2014-03-12T18:10:18.000Z",
  "title": "Finiteness of K3 surfaces and the Tate conjecture",
  "authors": [
    "Max Lieblich",
    "Davesh Maulik",
    "Andrew Snowden"
  ],
  "comment": "Final version",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "Given a finite field k of characteristic at least 5, we show that the Tate conjecture holds for K3 surfaces defined over the algebraic closure of k if and only if there are only finitely many K3 surfaces over each finite extension of k.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2014-03-12T18:10:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G15",
      "14G10",
      "14J28"
    ],
    "keywords": [
      "finiteness",
      "tate conjecture holds",
      "finite extension",
      "finite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.1221L"
    }
  }
}