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

Fujimoto, Yoshio; Nakayama, Noboru

J. Math. Kyoto Univ., Tome 47 (2007) no. 3, p. 79-114 / Harvested from Project Euclid

Résumé

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 $\leq 2$.

Publié le : 2007-05-15
Classification: 14J30, 14E30

@article{1250281069,
     author = {Fujimoto, Yoshio and Nakayama, Noboru},
     title = {Endomorphisms of smooth projective $3$-folds with nonnegative Kodaira dimension, II},
     journal = {J. Math. Kyoto Univ.},
     volume = {47},
     number = {3},
     year = {2007},
     pages = { 79-114},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281069}
}

Fujimoto, Yoshio; Nakayama, Noboru. Endomorphisms of smooth projective $3$-folds with nonnegative Kodaira dimension, II. J. Math. Kyoto Univ., Tome 47 (2007) no. 3, pp.  79-114. http://gdmltest.u-ga.fr/item/1250281069/