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.

引用

页码：237 / 259

页数：23

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