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. 231–250DOI 10.4171/GGD/125