论文标题

由于bogomolov而消失的定理

On a vanishing theorem due to Bogomolov

论文作者

Wu, Xiaojun

论文摘要

在本说明中,我们给出了新的证据,证明最初是由于Bogomolov引起的消失结果,后来由Mourougane和Boucksom概括。该声明在于对线条束的数值维度的假设下,对紧凑型kähler歧管上的任意伪赋形线束。

In this note, we give a new proof of a vanishing result originally due to Bogomolov, and later generalised by Mourougane and Boucksom. The statement holds for arbitrary pseudoeffective line bundles over compact Kähler manifolds, under an assumption on the numerical dimension of the line bundle.

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