On K3 fibred Calabi–Yau threefolds in weighted scrolls

被引:0
作者
Geoffrey Mboya
Balázs Szendrői
机构
[1] University of Oxford,Mathematical Institute
[2] University of Vienna,Department of Mathematics
来源
Rendiconti del Circolo Matematico di Palermo Series 2 | 2024年 / 73卷
关键词
K3 fibration; Calabi-Yau threefold; Weighted scroll;
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摘要
The aim of this paper is to classify mildly singular Calabi–Yau threefolds fibred in low-degree weighted K3 surfaces and embedded as anticanonical hypersurfaces in weighted scrolls, extending results of Mullet. We also study projective degenerations, revisiting an example due to Gross and Ruan. Finally we briefly discuss the general question of embedding a projective fibration into a weighted scroll.
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页码:621 / 635
页数:14
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