Optimal destabilizing centers and equivariant K-stability

被引：27
|
作者：
Zhuang, Ziquan [1 ]
机构：
[1] MIT, Dept Math, Cambridge, MA 02139 USA
来源：
INVENTIONES MATHEMATICAE | 2021年 / 226卷 / 01期
关键词：
D O I：
10.1007/s00222-021-01046-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give an algebraic proof of the equivalence of equivariant K-semistability (resp. equivariant K-polystability) with geometric K-semistability (resp. geometric K-polystability). Along the way we also prove the existence and uniqueness of minimal optimal destabilizing centers on K-unstable log Fano pairs.
引用
收藏
页码：195 / 223
页数：29
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