Compact Complex Surfaces Admitting Non-trivial Surjective Endomorphisms

  title={Compact Complex Surfaces Admitting Non-trivial Surjective Endomorphisms},
  author={Y. Fujimoto and Noboru Nakayama},
Smooth compact complex surfaces admitting non-trivial surjective endomorphisms are classified up to isomorphisms. The algebraic case has been classified in [3], [19]. The following surfaces are listed in the non-algebraic case: a complex torus, a Kodaira surface, a Hopf surface with at least two curves, an Inoue surface with curves, and an Inoue surface without curves satisfying a rationality condition. 

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