An 8-dimensional family of simply connected Godeaux surfaces
Algebraic Geometry
2022-01-27 v2
Abstract
In this paper we describe a construction method for numerical Godeaux surfaces based on homological algebra. We show the existence of an 8-dimensional locally complete family of simply connected numerical Godeaux surfaces.
Keywords
Cite
@article{arxiv.2009.05357,
title = {An 8-dimensional family of simply connected Godeaux surfaces},
author = {Frank-Olaf Schreyer and Isabel Stenger},
journal= {arXiv preprint arXiv:2009.05357},
year = {2022}
}
Comments
28 pages. We have divided the previous version "Godeaux surfaces I" into two parts. This version describes the general construction method. The second part studies marked Godeaux surfaces with special bicanonical fibers