Endomorphisms of Smooth Projective 3-Folds with Non-Negative Kodaira Dimension

Abstract

Let X be a nonsingular projective 3-fold with non-negative Kodaira dimension κ(X) ≥ 0 which admits a nonisomorphic surjective morphism f : X → X onto itself. If κ(X) = 0 or 2, a suitable finite étale covering X of X is isomorphic to an abelian 3-fold or the direct product E × S of an elliptic curve E and a nonsingular algebraic surface S with κ(S) = κ(X).