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arXiv · 2001.11320

Singular K\"ahler-Einstein metrics on $\mathbb Q$-Fano compactifications of Lie groups

Yan Li·Gang Tian·Xiaohua Zhu
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Abstract

In this paper, we prove an existence result for K\"ahler-Einstein metrics on $\mathbb Q$-Fano compactifications of Lie groups. As an application, we classify $\mathbb Q$-Fano compactifications of $SO_4(\mathbb C)$ which admit a K\"ahler-Einstein metric with the same volume as that of a smooth Fano compactification of $SO_4(\mathbb C)$.

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Yan Li, Gang Tian, Xiaohua Zhu. 2020-01-30. Singular K\"ahler-Einstein metrics on $\mathbb Q$-Fano compactifications of Lie groups. https://arxiv.org/abs/2001.11320

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