Angle deformation of Kahler-Einstein edge metrics on Hirzebruch surfaces

被引：0
|
作者：
Rubinstein, Yanir A. [1 ]
Zhang, Kewei [2 ]
机构：
[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA
[2] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China
来源：
PURE AND APPLIED MATHEMATICS QUARTERLY | 2022年 / 18卷 / 01期
基金：
美国国家科学基金会; 巴西圣保罗研究基金会;
关键词：
Kahler-Einstein edge metric; Calabi-Yau fiberation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct a family of Kahler-Einstein edge metrics on all Hirzebruch surfaces using the Calabi ansatz and study their angle deformation. This allows us to verify in some special cases a conjecture of Cheltsov-Rubinstein that predicts convergence towards a non-compact Calabi-Yau fibration in the small angle limit. We also give an example of a Kahler-Einstein edge metric whose edge singularity is rigid, answering a question posed by Cheltsov.
引用
收藏
页码：343 / 366
页数：24
相关论文
共 50 条
12345