English

A characterization of Inoue surfaces

Complex Variables 2010-11-10 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1011.2035,
  title  = {A characterization of Inoue surfaces},
  author = {Marco Brunella},
  journal= {arXiv preprint arXiv:1011.2035},
  year   = {2010}
}

Comments

11 pages

R2 v1 2026-06-21T16:41:02.833Z