In this paper, we prove Hamilton-Tian conjecture for Kähler-Ricci flow based on a recent work of Liu-Székelyhidi on Tian's partical $C^0$-estimate for polarized Kähler metrics with Ricci bounded below. Yau-Tian-Donaldson conjecture for the existence of Kähler-Einstein metrics on Fano manifolds will be also discussed by Kähler-Ricci flow.

中文翻译：

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田的部分C ⁰估计暗含了汉密尔顿的猜想

本文基于Liu-Székelyhidi在田的粒子的最新研究中证明了Kähler-Ricci流的哈密顿-天数猜想 $C^0$-估计极化的Kähler指标，Ricci如下所示。关于Fano流形上Kähler-Einstein度量存在性的Yau-Tian-Donaldson猜想也将由Kähler-Ricci流讨论。