On the Log Abundance for Compact Kähler $3$-folds

Abstract

In this article we show that if $(X,\Delta )$ is a log canonical compact Kähler $3$-fold such that $K_X+\Delta$ is nef and the numerical dimension $\nu (K_X+\Delta )\ne 2$, then $K_X+\Delta$ is semi-ample.

arXiv commentVarious changes throughout the article. The main results are all unchanged. Final version, accepted for publication in Manuscripta Mathematica