Pushforwards of klt pairs under morphisms to abelian varieties

Fanjun Meng

Let $f$ be a morphism from a klt pair $(X,\Delta )$ to an abelian variety $A$, $m\ge 1$ a rational number and $D$ a Cartier divisor on $X$ such that $D{\sim }_{\mathbb{Q}}m(K_X+\Delta )$. We prov…