An 8-dimensional family of simply connected Godeaux surfaces

2020/09/11 by Schreyer, Frank-Olaf, Stenger, Isabel
#13D02 #14J10 #14J29 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.05357

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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