A characterization of Inoue surfaces

  • Marco Brunella

    Université de Bourgogne, Dijon, France


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