Independence of Singularity Type for Numerically Effective K\"ahler-Ricci Flows

Abstract

In this paper, we show that the singularity type of solutions to the K\"aher-Ricci flow on a numerically effective manifold does not depend on the initial metric. More precisely if there exists a type III solution to the K\"ahler-Ricci flow, then any other solution starting from a different initial metric will also be Type III. This generalises previous results by Y. Zhang for the semi-ample case.