K-stability for varieties with a big anticanonical class

被引：0

作者：

Xu, Chenyang ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

EPIJOURNAL DE GEOMETRIE ALGEBRIQUE | 2023年 / 2023卷

关键词：

Keywords; K-stability; fi nite generation; log Fano varieties; FANO VARIETIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the algebraic K-stability theory to projective klt pairs with a big anticanonical class. While in general such a pair could behave pathologically, it is observed in this note that the K-semistability condition will force them to have a klt anticanonical model, whose stability property is the same as that of the original pair.

引用

页数：9

共 15 条

[1]

[Anonymous], 2013, Cambridge Tracts in Mathematics, DOI [10.1017/CBO9781139547895, DOI 10.1017/CBO9781139547895]

[2] EXISTENCE OF MINIMAL MODELS FOR VARIETIES OF LOG GENERAL TYPE [J].