Reduced Delta Invariant and Kähler–Einstein Metrics

Abstract

Based on the pluripotential methods developed in Darvas and Zhang (Commun Pure Appl Math 77(12):4289–4327, 2024), we give a simplified prove for a result of Chi Li, which states that a log Fano vatiety admits a Kähler–Einstein metric if it has vanishing Futaki invariant and its reduced delta invariant is bigger than one.

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Funding

National Natural Science Foundation of China(NSFC 12271038)