Finiteness of Q-Fano Compactifications of Semisimple Groups with Kahler-Einstein Metrics

被引：1
|
作者：
Li, Yan [1 ]
Li, Zhenye [2 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
[2] Beijing Univ Chem Technol, Coll Math & Phys, Beijing 100029, Peoples R China
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2022年 / 2022卷 / 15期
基金：
中国博士后科学基金;
关键词：
K-STABILITY; VARIETIES;
D O I：
10.1093/imrn/rnab046
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a complex semisimple group. In this note, we give a method to classify Q-Fano compactifications of G. We will prove that there are only finitely many Q-Fano G-compactifications that admit (singular) Kahler-Einstein metrics. As an application, this improves a former result in [19].
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页码：11776 / 11795
页数：20
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