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.
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页数：9
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