K-stability of Fano varieties: an algebro-geometric approach

被引:40
作者
Xu, Chenyang [1 ,2 ,3 ]
机构
[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
[2] MIT, Dept Math, Cambridge, MA 02139 USA
[3] Beijing Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China
关键词
Fano varieties; K-stability; K-moduli; KAHLER-EINSTEIN METRICS; LOG CANONICAL THRESHOLDS; GROMOV-HAUSDORFF LIMITS; COMPACT MODULI SPACES; GREATEST LOWER BOUNDS; CM LINE BUNDLE; SCALAR CURVATURE; RICCI CURVATURE; EXISTENCE; MANIFOLDS;
D O I
10.4171/EMSS/51
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a survey of the recent progress on the study of K-stability of Fano varieties by an algebro-geometric approach.
引用
收藏
页码:265 / 354
页数:90
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