论文标题
在K3纤维Calabi-yau上,加权卷轴中的三倍
On K3 fibred Calabi-Yau threefolds in weighted scrolls
论文作者
论文摘要
本文的目的是将低度加权的K3表面纤维中的轻度奇异的calabi-yau分类,并在加权卷轴中嵌入为抗神论超曲面,以扩大m鱼的结果。我们还研究了投影性退化,重新审视了一个示例,这是由于毛骨悚然和Ruan的示例。最后,我们简要讨论将投影纤维嵌入加权卷轴中的一般问题。
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.