Curves on Endo-Pajitnov Manifolds

Abstract

Endo-Pajitnov manifolds are generalizations to higher dimensions of the Inoue surfaces SM. We study the existence of complex submanifolds in Endo-Pajitnov manifolds. We identify a class of these manifolds that do contain compact complex submanifolds and establish an algebraic condition under which an Endo-Pajitnov manifold contains no compact complex curves.

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