{
  "id": "2404.06844",
  "version": "v1",
  "published": "2024-04-10T09:16:01.000Z",
  "updated": "2024-04-10T09:16:01.000Z",
  "title": "Non-thin rational points for elliptic K3 surfaces",
  "authors": [
    "Damián Gvirtz-Chen",
    "Giacomo Mezzedimi"
  ],
  "comment": "11 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We prove that elliptic K3 surfaces over a number field which admit a second elliptic fibration satisfy the potential Hilbert property. Equivalently, the set of their rational points is not thin after a finite extension of the base field. Furthermore, we classify those families of elliptic K3 surfaces over an algebraically closed field which do not admit a second elliptic fibration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-10T09:16:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28",
      "14G05",
      "14J27",
      "11R45",
      "06B05"
    ],
    "keywords": [
      "elliptic k3 surfaces",
      "non-thin rational points",
      "second elliptic fibration satisfy",
      "potential hilbert property",
      "number field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}