An 8-dimensional family of simply connected Godeaux surfaces
Frank-Olaf Schreyer, Isabel Stenger
TL;DR
This paper introduces a construction method for numerical Godeaux surfaces using homological algebra, demonstrating the existence of an 8-dimensional family of simply connected examples.
Contribution
It presents a new construction approach and proves the existence of a large family of simply connected Godeaux surfaces.
Findings
Existence of an 8-dimensional family of Godeaux surfaces
Construction method based on homological algebra
Simply connected Godeaux surfaces are realized
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.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Topological and Geometric Data Analysis · Polynomial and algebraic computation