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Calabi-Yau threefolds with non-Gorenstein involutions

Authors
Lee, Nam-Hoon
Issue Date
1-Jan-2023
Publisher
John Wiley and Sons Inc
Keywords
Calabi–Yau threefold; involution; Q${\mathbb {Q}}$-Fano threefold
Citation
MATHEMATISCHE NACHRICHTEN, v.296, no.8, pp 3449 - 3458
Pages
10
Journal Title
MATHEMATISCHE NACHRICHTEN
Volume
296
Number
8
Start Page
3449
End Page
3458
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/31233
DOI
10.1002/mana.202100027
ISSN
0025-584X
1522-2616
Abstract
The concept of non-Gorenstein involutions on Calabi–Yau threefolds is a higher dimensional generalization of non-symplectic involutions on K3 surfaces. We present some elementary facts about Calabi–Yau threefolds with non-Gorenstein involutions. We give a classification of the Calabi–Yau threefolds of Picard rank one with non-Gorenstein involutions, whose fixed locus is not zero-dimensional. © 2023 Wiley-VCH GmbH.
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