The moduli space of Keum-Naie surfaces
Algebraic Geometry
2011-02-15 v2 Group Theory
Abstract
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.
Keywords
Cite
@article{arxiv.0909.1733,
title = {The moduli space of Keum-Naie surfaces},
author = {Ingrid Bauer and Fabrizio Catanese},
journal= {arXiv preprint arXiv:0909.1733},
year = {2011}
}
Comments
20 pages revised version: minor changes, proof of theorem 2.1. corrected and largely simplified