Kavli Affiliate: Zhiting Tian
| First 5 Authors: Chi Li, Chi Li, , ,
| Summary:
We prove the Yau-Tian-Donaldson’s conjecture for any $mathbbQ$-Fano variety that has a log smooth resolution of singularities such that the discrepancies of all exceptional divisors are non-positive. In other words, if such a Fano variety is K-polystable, then it admits a Kähler-Einstein metric. This extends the previous result for smooth Fano varieties to this class of singular $mathbbQ$-Fano varieties, which include those admitting crepant log resolutions.
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