The partial C0-estimate along a general continuity path and applications

• 作者: Ke Feng Liangming Shen
• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2021,（11）
• 所属期刊栏目: Articles
• 页码范围: 2495-2520
• 页数: 26页
• 语种: 英文

摘要

We establish a new partial C0-estimate along a continuity path mixed with conic singularities along a simple normal crossing divisor and a positive twisted (1,1)-form on Fano manifolds.As an application,this estimate enables us to show the reductivity of the automorphism group of the limit space,which leads to a new proof of the Yau-Tian-Donaldson conjecture.