COMPACT COMPLEX SURFACES ADMITTING NON-TRIVIAL SURJECTIVE ENDOMORPHISMS

• FUJIMOTO YOSHIO

  Department of Mathematics, Faculty of Education, Gifu University

• NAKAYAMA NOBORU

  Research Institute for Mathematical Sciences, Kyoto University

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.

Journal

• Tohoku Mathematical Journal, Second Series

  Tohoku Mathematical Journal, Second Series 57 (3), 395-426, 2005

  Mathematical Institute, Tohoku University

Keywords

• Endomorphism
• elliptic surface
• non-algebraic surface
• $\\ extrm{VII}_0$ surface
• Kodaira surface
• Inoue surface

Details

• CRID: 1390001205116620160
• NII Article ID: 110001792946
• NII Book ID: AA00863953
• DOI: 10.2748/tmj/1128703004
• ISSN: 2186585X
• ISSN: 00408735
• MRID: 2154100
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed