JournalsggdVol. 5, No. 2pp. 231–250

The moduli space of Keum–Naie surfaces

  • Ingrid Bauer

    Universität Bayreuth, Germany
  • Fabrizio Catanese

    Universität Bayreuth, Germany
The moduli space of Keum–Naie  surfaces cover
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Abstract

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 SS be a smooth complex projective surface which is homotopically equivalent to a Keum–Naie surface. Then SS 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