论文标题
在Junyan Cao的伪夫线捆绑包中消失的定理
On Junyan Cao's vanishing theorem for pseudoeffective line bundles
论文作者
论文摘要
Junyan Cao获得了一个非常普遍的消失定理,在任何紧凑的Kähler歧管上都有效,对于具有伪富富线束中的值,由相关的乘数理想的链条扭曲。在本说明中,我们根据行束的数值维度给出了此结果的一个版本,而不是给定单数度量的数值维度,这可能更小。
Junyan Cao has obtained a very general vanishing theorem, valid on any compact Kähler manifold, for the cohomology groups with values in a pseudoeffective line bundle twisted by the associated multiplier ideal sheaf. In this note, we give a version of this result in terms of the numerical dimension of the line bundle, instead of the numerical dimension of a given singular metric, which can be smaller.