Singular Kähler-Einstein metrics on \mathbb Q-Fano compactifications of Lie groups

2020/01/30 by Li, Yan, Tian, Gang, Zhu, Xiaohua
#14L10 #58D25 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Primary: 53C25 #Secondary: 32Q20

paper · doi:10.48550/arxiv.2001.11320

Abstract

In this paper, we prove an existence result for Kähler-Einstein metrics on \mathbb Q-Fano compactifications of Lie groups. As an application, we classify \mathbb Q-Fano compactifications of SO₄(\mathbb C) which admit a Kähler-Einstein metric with the same volume as that of a smooth Fano compactification of SO₄(\mathbb C).

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