The moduli space of Keum-Naie surfaces

作者：Bauer Ingrid^*; Catanese Fabrizio

来源：Groups, Geometry, and Dynamics, 2011, 5(2): 231-250.

DOI：10.4171/GGD/125

• Algebraic surfaces
• moduli spaces
• homotopy type
• fundamental groups

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 S be a smooth complex projective surface which is homotopically equivalent to a Keum-Naie surface. Then S 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.

• 出版日期2011