An 8-dimensional family of simply connected Godeaux surfaces

Schreyer, Frank-Olaf; Stenger, Isabel

doi:10.1090/tran/8813

An 8-dimensional family of simply connected Godeaux surfaces
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by Frank-Olaf Schreyer and Isabel Stenger;

Trans. Amer. Math. Soc. 376 (2023), 3419-3443

DOI: https://doi.org/10.1090/tran/8813

Published electronically: February 3, 2023

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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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