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arxiv: 0707.0244 · v1 · submitted 2007-07-02 · 🧮 math.AG · math.AC

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

classification 🧮 math.AG math.AC
keywords campedellinumericalsectionconstructioncontainssurfacestorsionalgebraic
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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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