Extremal metrics on toric manifolds and homogeneous toric bundles

被引：0
|
作者：
Li, An-Min [1 ]
Lian, Zhao [2 ]
Sheng, Li [1 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[2] Southwest Jiaotong Univ, Sch Math, Chengdu 611756, Peoples R China
来源：
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2023年
关键词：
UNIFORM K-STABILITY; SCALAR CURVATURE; TEST-CONFIGURATIONS; KAHLER GEOMETRY; ENERGY; VARIETIES; RAYS;
D O I：
10.1515/crelle-2023-0017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove the Yau-Tian-Donaldson conjecture of the filtration version for toric manifolds and homogeneous toric bundles, thus for toric manifolds and homo-geneous toric bundles, M admits an extremal metric in c(1)(L) if and only if (M, L) is relatively K-stable.
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页码：237 / 259
页数：23
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