Convergence of weak Kähler-Ricci Flows on minimal models of positive Kodaira dimension

2016/04/24 by Philippe Eyssidieux, Eyssidieux, P., Vincent Guedj +3
Mathematics · #3205 #32J27 #53C55 #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1604.07001

openalex publication_date 2016/04/24 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Abundance for Kaehler threefolds

Related

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• Weak solutions to degenerate complex Monge-Ampére flows I
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• General Weak Limit for Kahler-Ricci Flow
• The Chern-Ricci flow on smooth minimal models of general type