Existence of Good Minimal Models for Kähler Varieites of Maximal Albanese Dimension

Abstract

In this short article we show that if $(X,B)$ is a compact Kähler klt pair of maximal Albanese dimension, then it has a good minimal model, i.e. there is a bimeromorphic contraction $\varphi :X⇢X^{\prime }$ such that $K_{X^{\prime }}+B^{\prime }$ is semi-ample.

12 pages. Comments are welcome