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

Abstract

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

arXiv commentWe added Lemma 4.4 and modified the proofs of Proposition 4.7 and Lemma 4.8

References in corpus (3)

• Space of Ricci flows (II)
• A ZX-Calculus with Triangles for Toffoli-Hadamard, Clifford+T, and Beyond
• Singular limits of Kähler-Ricci flow on Fano $G$-manifolds

Cited by in corpus (1)

• An explicit estimate of the Bergman kernel for positive line bundles