The moduli space of Keum–Naie surfaces

  • Ingrid Bauer

    Universität Bayreuth, Germany
  • Fabrizio Catanese

    Universität Bayreuth, Germany


Using a new description of the surfaces discovered by Keum and later investigated by Naie, and of their fundamental group, we prove the following main result.

Let be a smooth complex projective surface which is homotopically equivalent to a Keum–Naie surface. Then is a Keum–Naie surface. The connected component of the Gieseker moduli space corresponding to Keum–Naie surfaces is irreducible, normal, unirational of dimension 6.

Cite this article

Ingrid Bauer, Fabrizio Catanese, The moduli space of Keum–Naie surfaces. Groups Geom. Dyn. 5 (2011), no. 2, pp. 231–250

DOI 10.4171/GGD/125