Convergence of Weak Kahler-Ricci Flows on Minimal Models of Positive Kodaira Dimension

被引：15

作者：

Eyssidieux, Phylippe ^{[1
,2
]}

Guedj, Vincent ^{[3
,4
]}

Zeriahi, Ahmed ^{[3
]}

机构：

[1] Univ Joseph Fourier, Grenoble, France

[2] Inst Univ France, Grenoble, France

[3] Univ Toulouse, CNRS, Inst Math Toulouse, UPS, 118 Route Narbonne, F-31062 Toulouse 09, France

[4] Univ Toulouse, CNRS, Inst Univ France, UPS, 118 Route Narbonne, F-31062 Toulouse 09, France

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2018年 / 357卷 / 03期

关键词：

EINSTEIN METRICS; VISCOSITY SOLUTIONS; EQUATIONS;

D O I：

10.1007/s00220-018-3087-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Studying the behavior of the Kahler-Ricci flow on mildly singular varieties, one is naturally lead to study weak solutions of degenerate parabolic complex Monge-AmpSre equations. In this article, the third of a series on this subject, we study the long term behavior of the normalized Kahler-Ricci flow on mildly singular varieties of positive Kodaira dimension, generalizing results of Song and Tian who dealt with smooth minimal models.

引用

页码：1179 / 1214

页数：36

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