The partial C^(0)-estimate along a general continuity path and applications  

作　　者：Ke Feng Liangming Shen 

机构地区：[1]School of Mathematical Sciences,University of Electronic Science and Technology of China,Chengdu 611731,China [2]School of Mathematical Sciences,Beihang University,Beijing 100191,China

出　　处：《Science China Mathematics》2021年第11期2495-2520,共26页中国科学：数学（英文版）

基　　金：supported by Le Centre de recherche en géométrie et topologie Fellowship during the visit to Institut des sciences mathématiques of Universitédu QuébecàMontréal。

摘　　要：We establish a new partial C^(0)-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.

关 键 词：partial C0-estimate K?hler-Einstein metric conic K?hler metric 

分 类 号：O186[理学—数学]