论文标题
立方三倍和包含平面的四倍的线条
Lines on cubic threefolds and fourfolds containing a plane
论文作者
论文摘要
我们描述了一般三倍的线条方案，其中包含与2个特征不同的字段$ k $上的平面。然后，我们使用Fano方案来表征此类三倍在未透明场上的三次三倍的合理性，并构建了来自包含平面的Cucic Fourdold fano fano fano fano的lagrangian纤维。
We describe the Fano scheme of lines on a general cubic threefold containing a plane over a field $k$ of characteristic different from 2. Then, we use the Fano scheme to characterize rationality for such cubic threefolds over nonclosed fields and to construct a Lagrangian fibration from the Fano variety of lines on a cubic fourfold containing a plane explicitly.
