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arXiv · 1903.01215

The uniform version of Yau-Tian-Donaldson conjecture for singular Fano varieties

Chi Li·Gang Tian·Feng Wang
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Abstract

We prove the following result: if a $\mathbb{Q}$-Fano variety is uniformly K-stable, then it admits a K\"{a}hler-Einstein metric. We achieve this by modifying Berman-Boucksom-Jonsson's strategy with appropriate perturbative arguments and non-Archimedean estimates. The idea of using the perturbation is motivated by our previous paper.

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Chi Li, Gang Tian, Feng Wang. 2019-03-04. The uniform version of Yau-Tian-Donaldson conjecture for singular Fano varieties. https://arxiv.org/abs/1903.01215

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