On K3 fibred Calabi-Yau threefolds in weighted scrolls

被引：0
|
作者：
Mboya, Geoffrey [1 ]
Szendroi, Balazs [2 ]
机构：
[1] Univ Oxford, Math Inst, Oxford, England
[2] Univ Vienna, Dept Math, Vienna, Austria
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2024年 / 73卷 / 02期
关键词：
K3; fibration; Calabi-Yau threefold; Weighted scroll; HYPERSURFACES;
D O I：
10.1007/s12215-023-00933-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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：15
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