$\mathbb Z/2$-Godeaux surfaces
Algebraic Geometry
2026-04-29 v3
Abstract
We prove that the moduli space of numerical Godeaux surfaces with torsion group is irreducible and unirational of dimension 8. Moreover, we show that the topological fundamental group of these surfaces is also . Our approach is based on the explicit construction of equations for all universal covers of numerical Godeaux surfaces with torsion group .
Cite
@article{arxiv.2009.12645,
title = {$\mathbb Z/2$-Godeaux surfaces},
author = {Eduardo Dias and Carlos Rito},
journal= {arXiv preprint arXiv:2009.12645},
year = {2026}
}
Comments
Final version