Godeaux surfaces with an Enriques involution and some stable degenerations
Algebraic Geometry
2015-02-17 v1
Abstract
We give an explicit description of the Godeaux surfaces that admit an involution such that the quotient surface is birational to an Enriques surface; these surfaces give a 6-dimensional unirational irreducible subset of the moduli space of surfaces of general type. In addition, we describe the Enriques surfaces that are birational to the quotient of a Godeaux surface by an involution and we show that they give a 5-dimensional unirational irreducible subset of the moduli space of Enriques surfaces. Finally, by degenerating our description we obtain some examples of non-normal stable Godeaux surfaces.
Cite
@article{arxiv.1502.04621,
title = {Godeaux surfaces with an Enriques involution and some stable degenerations},
author = {Margarida Mendes Lopes and Rita Pardini},
journal= {arXiv preprint arXiv:1502.04621},
year = {2015}
}
Comments
To appear in the proceedings of the conference "Homage to Corrado Segre."