{
  "id": "1409.7601",
  "version": "v1",
  "published": "2014-09-26T15:24:21.000Z",
  "updated": "2014-09-26T15:24:21.000Z",
  "title": "Calabi-Yau threefolds of type K (I): Classification",
  "authors": [
    "Kenji Hashimoto",
    "Atsushi Kanazawa"
  ],
  "comment": "41 pages, comments welcome",
  "categories": [
    "math.AG",
    "hep-th"
  ],
  "abstract": "Any Calabi-Yau threefold X with infinite fundamental group admits an \\'{e}tale Galois covering either by an abelian threefold or by the product of a K3 surface and an elliptic curve. We call X of type A in the former case and of type K in the latter case. In this paper, we provide the full classification of Calabi-Yau threefolds of type K, based on Oguiso and Sakurai's work. Together with a refinement of Oguiso and Sakurai's result on Calabi-Yau threefolds of type A, we finally complete the classification of Calabi-Yau threefolds with infinite fundamental group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-26T15:24:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J32",
      "14J28",
      "14F45"
    ],
    "keywords": [
      "calabi-yau threefold",
      "infinite fundamental group admits",
      "sakurais result",
      "abelian threefold",
      "k3 surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1319202,
      "adsabs": "2014arXiv1409.7601H"
    }
  }
}