The moduli space of Keum-Naie surfaces

Details The moduli space of Keum-Naie surfaces The moduli space of Keum-Naie surfaces

2009-09-09

arxiv.org/abs/0909.1733v2

Mathematics

Algebraic Geometry

20 pages revised version: minor changes, proof of theorem 2.1. corrected and largely simplified

Scientific paper

Using a new description of Keum Naie surfaces and 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.

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