论文标题
关于乌尔里希捆绑包
On Ulrich bundles on projective bundles
论文作者
论文摘要
在本文中，讨论了在投影捆绑包上的乌尔里希捆绑包的存在。在这种情况下，基本品种$ x $是曲线或表面，$ x $上的ulrich捆绑包与$ \ mathbb p（e）$上的ulrich束之间的关系是针对特定极化的。这产生了乌尔里希捆绑包在曲线和表面上的广泛投影束上的存在。
In this article, the existence of Ulrich bundles on projective bundles $\mathbb P(E) \to X$ is discussed. In the case, that the base variety $X$ is a curve or surface, a close relationship between Ulrich bundles on $X$ and those on $\mathbb P(E)$ is established for specific polarisations. This yields the existence of Ulrich bundles on a wide range of projective bundles over curves and surfaces.
