A construction of numerical Campedelli Surfaces with /6 torsion group

Abstract

We produce a family of numerical Campedelli surfaces with /6 torsion by constructing the (Gorenstein codimension 5) canonical ring of the \'etale six to one cover using serial unprojection. In Section 2 we develop the necessary algebraic machinery. Section 3 contains the numerical Campedelli surface construction, while Section 4 contains remarks and open questions.

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