Abstract:Let $(Y,g_0)$ be a compact analytic space with a finite number of singular points, where the metric at each singular point is modelled on a Kähler cone with smooth canonical model. We show that the Kähler-Ricci flow with such initial data satisfies a $C/t$ curvature bound, and that the flow near each singular point is modelled on the unique Kähler-Ricci expander asymptotic to the corresponding cone. Our motivation is to give a geometric description of the Kähler--Ricci flow emerging from singularities arising in the analytic minimal model program.
From: Max Hallgren [view email]
[v1]
Sun, 5 Apr 2026 18:45:25 UTC (56 KB)
[v2]
Wed, 27 May 2026 16:47:05 UTC (54 KB)
[v3]
Wed, 19 Aug 2026 17:32:11 UTC (49 KB)
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