Geometric estimates for complex Monge-Ampere equations

被引：18
作者：
Fu, Xin [1 ]
Guo, Bin [2 ]
Song, Jian [1 ]
机构：
[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
[2] Columbia Univ, Dept Math, New York, NY 10027 USA
来源：
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2020年 / 765卷
基金：
美国国家科学基金会;
关键词：
KAHLER-RICCI FLOW; CONTRACTING EXCEPTIONAL DIVISORS; CURVATURE; CONTINUITY; METRICS;
D O I：
10.1515/crelle-2019-0020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove uniform gradient and diameter estimates for a family of geometric complex Monge-Ampere equations. Such estimates can be applied to study geometric regularity of singular solutions of complex Monge-Ampere equations. We also prove a uniform diameter estimate for collapsing families of twisted Kahler-Einstein metrics on Kahler manifolds of nonnegative Kodaira dimensions.
引用
收藏
页码：69 / 99
页数：31
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