Endomorphisms of smooth projective $3$-folds with nonnegative Kodaira dimension, II

Abstract

This article is a continuation of the paper [6]. Smooth complex projective 3-folds with nonnegative Kodaira dimension admitting nontrivial surjective endomorphisms are completely determined. Especially, it is proved that, for such a 3-fold $X$, there exist a finite étale Galois covering $\Tilde{X} \longrightarrow X$ and an abelian scheme structure $\Tilde{X} \longrightarrow T$ over a smooth variety $T$ of dimension $\leq 2$.