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September 2005 Compact complex surfaces admitting non-trivial surjective endomorphisms
Yoshio Fujimoto, Noboru Nakayama
Tohoku Math. J. (2) 57(3): 395-426 (September 2005). DOI: 10.2748/tmj/1128703004

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.

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Yoshio Fujimoto. Noboru Nakayama. "Compact complex surfaces admitting non-trivial surjective endomorphisms." Tohoku Math. J. (2) 57 (3) 395 - 426, September 2005. https://doi.org/10.2748/tmj/1128703004

Information

Published: September 2005
First available in Project Euclid: 7 October 2005

zbMATH: 1088.32008
MathSciNet: MR2154100
Digital Object Identifier: 10.2748/tmj/1128703004

Subjects:
Primary: 32J15
Secondary: 14J25, 14J27

Rights: Copyright © 2005 Tohoku University

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Vol.57 • No. 3 • September 2005
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