An 8-dimensional family of simply connected Godeaux surfaces

Frank-Olaf Schreyer; Isabel Stenger

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An 8-dimensional family of simply connected Godeaux surfaces

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arxiv 2009.05357 v2 pith:KKHUZNNJ submitted 2020-09-11 math.AG

Frank-Olaf Schreyer , Isabel Stenger This is my paper · ORCID

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keywords godeauxsurfacesconnecteddimensionalfamilynumericalsimplyalgebra

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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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