Tian's partial $C^0$-estimate implies Hamilton-Tian's conjecture

Published 13 Feb 2020 in math.DG | (2002.05501v2)

Abstract: In this paper, we prove the Hamilton-Tian conjecture for K\"ahler-Ricci flow based on a recent work of Liu-Sz\'ekelyhidi on Tian's partical $C^0$-estimate for poralized K\"ahler metrics with Ricci bounded below. The Yau-Tian-Donaldson conjecture for the existence of K\"ahler-Einstein metrics on Fano manifolds will be also discussed.

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