The Kahler-Ricci flow on log canonical pairs of general type

被引：0
作者：
Li, Chang [1 ]
Shen, Liangming [2 ,3 ]
Zheng, Tao [4 ]
机构：
[1] Renmin Univ China, Sch Math, Beijing 100872, Peoples R China
[2] Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China
[3] Minist Educ, Key Lab Math Informat Behav Semant, Beijing 100191, Peoples R China
[4] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2023年 / 285卷 / 04期
基金：
中国博士后科学基金;
关键词：
Kahler-Ricci flow; Log canonical pair; Big and nef; EINSTEIN METRICS; MINIMAL MODELS; SINGULARITIES; VARIETIES; EXISTENCE; CURVATURE;
D O I：
10.1016/j.jfa.2023.109984
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We generalize existence results of the Kahler-Ricci flow in [10] to log canonical pairs. We show that if the initial data is in L infinity the Kahler-Ricci flow simultaneously develops the conical and cusp singularities along the regular part of the corresponding pair divisors. Furthermore we could show that the normalized Kahler-Ricci flow converges to the singular Kahler-Einstein metric inside the ample locus of KX + Delta if the log canonical pair is of general type. (c) 2023 Elsevier Inc. All rights reserved.
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页数：33
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