A characterization of Inoue surfaces
Marco Brunella
Université de Bourgogne, Dijon, France
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 Kähler rank one.
Cite this article
Marco Brunella, A characterization of Inoue surfaces. Comment. Math. Helv. 88 (2013), no. 4, pp. 859–874
DOI 10.4171/CMH/305