Abstract
Up to a finite étale covering, we classify smooth projective $3$-folds $X$ with $\kappa(X) = -\infty$ admitting a nonisomorphic étale endomorphism in the case where there exists an FESP $Y_{\bullet}$ constructed from $X$ by a sequence of blowing-downs of an ESP and an extremal ray $R_{\bullet}$ of fiber type on $\operatorname{\overline{NE}}(Y_{\bullet})$ such that the pair $(Y_{\bullet}, R_{\bullet})$ is of type $(\text{C}_1)$ or $(\text{C}_0)$.
Acknowledgments
The author wishes to express sincire thanks to Professor Noboru Nakayama for many useful discussions and advices and to the referee for the careful reading of the manuscript. The author is supported by the Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science.
Citation
Yoshio Fujimoto. "Étale endomorphisms of 3-folds. II." Osaka J. Math. 59 (1) 1 - 14, January 2022.
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