Calabi–Yau Threefolds of Type K (I): Classification

Kenji Hashimoto Max Planck Institute for Mathematics Atsushi Kanazawa Harvard University

Publications of CMSA of Harvard mathscidoc:1702.38021

Any Calabi–Yau threefold X with infinite fundamental group admits an ´etale 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 [24]. Together with a refinement of their result on Calabi–Yau threefolds of type A, we finally complete the classification of Calabi–Yau threefolds with infinite fundamental group.
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@inproceedings{kenjicalabi–yau,
  title={Calabi–Yau Threefolds of Type K (I): Classification},
  author={Kenji Hashimoto, and Atsushi Kanazawa},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170207011047442374221},
}
Kenji Hashimoto, and Atsushi Kanazawa. Calabi–Yau Threefolds of Type K (I): Classification. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170207011047442374221.
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