Independence of singularity type for numericallyeffective Kähler–Ricci flows

We show that the singularity type of solutions to the Khler-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 Khler-Ricci flow, then any other solution starting from a different initial metric will also be type III.This generalizes a previous result by Yashan Zhang for the semiample case, and confirms a conjecture by Valentino Tosatti.