The uniform version of Yau-Tian-Donaldson conjecture for singular Fano varieties
arXiv:1903.01215
Abstract
We prove the following result: if a -Fano variety is uniformly K-stable, then it admits a Kähler-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.
36 pages. Add more details according to the referee's request. Comments Welcome