论文标题
非小型Ulrich捆绑包:四边形的分类和小数字维度的情况
Non-big Ulrich bundles: the classification on quadrics and the case of small numerical dimension
论文作者
论文摘要
在任何平滑的$ n $尺寸品种上,我们给出了$ r $ r $ ulrich向量捆绑包的精确图片,最多最多$ \ frac {n} {2} {2}+r-1 $。此外,我们将非小型Ulrich矢量捆绑包在四边形上和Del Pezzo $ 6 $ $ 6 $上分类。
On any smooth $n$-dimensional variety we give a pretty precise picture of rank $r$ Ulrich vector bundles with numerical dimension at most $\frac{n}{2}+r-1$. Also, we classify non-big Ulrich vector bundles on quadrics and on the Del Pezzo fourfold of degree $6$.