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

被引：41

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

来源：

EMS SURVEYS IN MATHEMATICAL SCIENCES | 2021年 / 8卷 / 1-2期

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

页码：265 / 354

页数：90

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