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The inverse Monge--Ampère flow on klt Fano varieties

Jianchun Chu, Tamás Darvas, Yaxiong Liu

math.CVarXiv:2610.36414

Abstract

We establish the long time existence of the inverse Monge--Ampère flow on a klt Q-Fano variety X. We further prove that X admits a Kähler--Einstein metric if and only if the flow converges in L1.

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