## Tohoku Mathematical Journal

### Compact complex surfaces admitting non-trivial surjective endomorphisms

#### Abstract

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.

#### Article information

Source
Tohoku Math. J. (2), Volume 57, Number 3 (2005), 395-426.

Dates
First available in Project Euclid: 7 October 2005

https://projecteuclid.org/euclid.tmj/1128703004

Digital Object Identifier
doi:10.2748/tmj/1128703004

Mathematical Reviews number (MathSciNet)
MR2154100

Zentralblatt MATH identifier
1088.32008

#### Citation

Fujimoto, Yoshio; Nakayama, Noboru. Compact complex surfaces admitting non-trivial surjective endomorphisms. Tohoku Math. J. (2) 57 (2005), no. 3, 395--426. doi:10.2748/tmj/1128703004. https://projecteuclid.org/euclid.tmj/1128703004

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