Calabi-Yau Three-folds of Type K (I): Classification

Kenji Hashimoto, Atsushi Kanazawa

研究成果: Article査読

1 被引用数 (Scopus)

抄録

Any Calabi-Yau three-fold X with infinite fundamental group admits an étale Galois covering either by an abelian three-fold or by the product of a K3 surface and an elliptic curve.Wecall X of type A in the former case and of type K in the latter case. In this article, we provide the full classification of Calabi-Yau three-folds of type K, based on Oguiso and Sakurai's work [25]. Together with a refinement of their result on Calabi-Yau threefolds of type A, we finally complete the classification of Calabi-Yau three-folds with infinite fundamental group.

本文言語English
ページ(範囲)6654-6693
ページ数40
ジャーナルInternational Mathematics Research Notices
2017
21
DOI
出版ステータスPublished - 2017 11月 1
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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