Infinite-time singularity type of the K\"ahler-Ricci flow II
Yashan Zhang
TL;DR
This paper investigates the infinite-time singularity types of the K"ahler-Ricci flow on certain compact K"ahler manifolds, linking these singularities to the properties of singular fibers in the semi-ample fibration.
Contribution
It establishes a relationship between the infinite-time singularity type of the flow and the characteristic indexes of singular fibers, advancing understanding of geometric flow behavior.
Findings
Relation between singularity type and fiber indexes
Characterization of singularities on manifolds with Kodaira dimension one
Insights into the structure of K"ahler-Ricci flow singularities
Abstract
On a compact K\"ahler manifold with semi-ample canonical line bundle and Kodaira dimension one, we observe a relation between the infinite-time singularity type of the K\"ahler-Ricci flow and the characteristic indexes of singular fibers of the semi-ample fibration.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory