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

Kenji Hashimoto, Atsushi Kanazawa

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)6654-6693
Number of pages40
JournalInternational Mathematics Research Notices
Volume2017
Issue number21
DOIs
Publication statusPublished - 2017 Nov 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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