A construction of numerical Campedelli Surfaces with \Z/6 torsion group

Details A construction of numerical Campedelli Surfaces with \Z/6 torsion group A construction of numerical Campedelli Surfaces with \Z/6 torsion group

2007-07-02

arxiv.org/abs/0707.0244v1

Mathematics

Algebraic Geometry

33 pages

Scientific paper

We produce a family of numerical Campedelli surfaces with \Z/6 torsion by
constructing the (Gorenstein codimension 5) canonical ring of the \'{e}tale 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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