The J-flow and stability

被引：45

作者：

Lejmi, Mehdi ^{[1
]}

Szekelyhidi, Gabor ^{[2
]}

机构：

[1] Univ Libre Bruxelles, Dept Math, B-1050 Brussels, Belgium

[2] Univ Notre Dame, Dept Math, Notre Dame, IN 46615 USA

来源：

ADVANCES IN MATHEMATICS | 2015年 / 274卷

关键词：

Kahler geometry; Parabolic flows; Stability; COMPACT KAHLER MANIFOLD; SCALAR CURVATURE; MABUCHI ENERGY; METRICS; CONVERGENCE; EQUATIONS; SURFACES; GEOMETRY; CONE;

D O I：

10.1016/j.aim.2015.01.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the J-flow from the point of view of an algebro-geometric stability condition. In terms of this we give a lower bound for the natural associated energy functional, and we show that the blowup behavior found by Fang and Lai [11] is reflected by the optimal destabilizer. Finally we prove a general existence result on complex tori. (C) 2015 Elsevier. Inc. All rights reserved.

引用

页码：404 / 431

页数：28

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