TL;DR
This paper characterizes Inoue surfaces using automorphic pluriharmonic functions on cyclic coverings, contributing to the classification of compact complex surfaces with Kaehler rank one.
Contribution
It provides a new characterization of Inoue surfaces that completes the classification of certain compact complex surfaces.
Findings
Characterization of Inoue surfaces via automorphic pluriharmonic functions
Completes classification of Kaehler rank one surfaces
Builds on results of Chiose and Toma
Abstract
We give a characterization of Inoue surfaces in terms of automorphic pluriharmonic functions on a cyclic covering. Together with results of Chiose and Toma, this completes the classification of compact complex surfaces of Kaehler rank one.
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