论文标题
感谢您的一些阳性结果
Some positivity results for toric vector bundles
论文作者
论文摘要
我们给出了一个标准,即一个项目活动的曲折矢量捆绑包是一个莫里的梦想空间,并使用发电机和关系来描述其Cox环。这两个结果都取决于束的所有对称能力的矩形。我们还提供了一个标准,即感谢您的大型旋转矢量束,并描述了几个有趣的曲折矢量束示例,这些示例强调了感谢您的阳性载体捆绑包的阳性特性比在感谢您的圆环线束更为复杂。
We give a criterion for a projectivized toric vector bundle to be a Mori dream space and describe its Cox ring using generators and relations. Both of these results are in terms of the matroids of all symmetric powers of the bundle. We also give a criterion for a toric vector bundle to be big and describe several interesting examples of toric vector bundles which highlights how positivity properties for toric vector bundles are more complicated than for toric line bundles.