Étale endomorphisms of 3-folds, III

Up to a finite etale covering, we classify a smooth projective 3-fold X with kappa(X) = -infinity admitting a nonisomorphic etale endomorphism. We mainly study the case where there exist an FESP Y-center dot constructed from X by a sequence of blowing-downs of an ESP and an extremal ray R-center dot of (NE) over bar (Y-center dot) such that the contraction morphisms associated to R-center dot give Y-center dot a smooth del Pezzo fiber space over an elliptic curve.