On the Log Abundance for Compact {K{ä}hler} threefolds II

Abstract

In this article we show that if $(X,\hat{I}”)$ is a log canonical compact Kähler threefold pair such that $K_X+\hat{I}”$ is nef and the numerical dimension $\hat{I}½(X,K_X+\hat{I}”)=2$, then $K_X+\hat{I}”$ is semi-ample. This result combined with our previous work in arXiv:2201.01202 shows that the log abundance holds for log canonical compact Kähler threefold pairs.