论文标题
双套在投影空间的双层盖上
Ulrich bundles on double covers of projective spaces
论文作者
论文摘要
在本文中,我们证明了任何光滑的投射品种$ x $,这是投射空间$ \ mathbb {p}^n $($ n \ geq 2 $)的双重封面,承认了一个Ulrich Bundle。当$ n = 2 $时,我们表明在任何这样的$ x $上,都有一个排名第二的Ulrich捆绑包。
In this article, we prove that any smooth projective variety $X$ which is a double cover of the projective space $\mathbb{P}^n$ ($n\geq 2$) admits an Ulrich bundle. When $n=2$, we show that on any such $X$, there is an Ulrich bundle of rank two.