Compactness of Kahler-Ricci solitons on Fano manifolds

被引：0

作者：

Guo, Bin ^{[1
,2
]}

Phong, Duong H. ^{[1
]}

Song, Jian ^{[3
]}

Sturm, Jacob ^{[2
]}

机构：

[1] Columbia Univ, Dept Math, New York, NY 10027 USA

[2] Rutgers State Univ, Dept Math & Comp Sci, Newark, NJ 07102 USA

[3] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

来源：

PURE AND APPLIED MATHEMATICS QUARTERLY | 2022年 / 18卷 / 01期

基金：

美国国家科学基金会;

关键词：

Kahler-Ricci solitons; Fano manifolds; CURVATURE; FLOW;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this short paper, we improve the result of Phong- moving the assumption on the uniform bound of the Futaki invariant. Let kappa R(n) be the space of Kahler-Ricci solitons on ndimensional Fano manifolds. We show that after passing to a subsequence, any sequence in kappa R(n) converge in the Gromov-Hausdorff topology to a Kahler-Ricci soliton on an n-dimensional Q-Fano variety with log terminal singularities.

引用

页码：305 / 316

页数：12

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