{
  "id": "1202.2421",
  "version": "v1",
  "published": "2012-02-11T07:42:07.000Z",
  "updated": "2012-02-11T07:42:07.000Z",
  "title": "On good reduction of some K3 surfaces related to abelian surfaces",
  "authors": [
    "Yuya Matsumoto"
  ],
  "comment": "21 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "The Neron--Ogg--Safarevic criterion for abelian varieties tells that whether an abelian variety has good reduction or not can be determined from the Galois action on its l-adic etale cohomology. We prove an analogue of this criterion for some special kind of K3 surfaces (those which admit Shioda--Inose structures of product type), which are deeply related to abelian surfaces. We also prove a p-adic analogue. This paper includes Ito's unpublished result for Kummer surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-11T07:42:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G25",
      "14G20",
      "14J28"
    ],
    "keywords": [
      "k3 surfaces",
      "abelian surfaces",
      "abelian variety",
      "abelian varieties tells",
      "admit shioda-inose structures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.2421M"
    }
  }
}