Compact complex surfaces admitting non-trivial surjective endomorphisms
Fujimoto, Yoshio ; Nakayama, Noboru
Tohoku Math. J. (2), Tome 57 (2005) no. 1, p. 395-426 / Harvested from Project Euclid
Smooth compact complex surfaces admitting non-trivial surjective endomorphisms are classified up to isomorphism. The algebraic case was dealt with earlier by the authors. The following surfaces are listed in the non-algebraic case: a complex torus, a Kodaira surface, a Hopf surface with at least two curves, a successive blowups of an Inoue surface with curves whose centers are nodes of curves, and an Inoue surface without curves satisfying a rationality condition.
Publié le : 2005-09-14
Classification:  Endomorphism,  elliptic surface,  non-algebraic surface,  $\roma{7}_{0}$ surface,  Kodaira surface,  Inoue surface,  32J15,  14J25,  14J27
@article{1128703004,
     author = {Fujimoto, Yoshio and Nakayama, Noboru},
     title = {Compact complex surfaces admitting non-trivial surjective endomorphisms},
     journal = {Tohoku Math. J. (2)},
     volume = {57},
     number = {1},
     year = {2005},
     pages = { 395-426},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1128703004}
}
Fujimoto, Yoshio; Nakayama, Noboru. Compact complex surfaces admitting non-trivial surjective endomorphisms. Tohoku Math. J. (2), Tome 57 (2005) no. 1, pp.  395-426. http://gdmltest.u-ga.fr/item/1128703004/