论文标题

平滑最小模型上的Miyaoka-yau不平等

The Miyaoka-Yau inequality on smooth minimal models

论文作者

Liu, Wanxing

论文摘要

在此简短说明中,我们提供了一个观察到的,即Miyaoka-yau不等式适用于任何紧凑的Kähler歧管,并具有NEF规范捆绑包,即平滑的最小模型。它直接来自CSCK指标的存在,在规范类别的附近,这既可以通过Dyrefelt的工作和歌曲的工作来证实,并使用了不同的方法。

In this short note, we offer an observation that the Miyaoka-Yau inequality holds for any compact Kähler manifold with nef canonical bundle, i.e. a smooth minimal model. It follows directly from the existence of cscK metrics in a neighborhood of the canonical class which was confirmed both by the work of Dyrefelt and Song using different approaches.

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