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NumericalGodeaux :: lineConditionsTorsZ2

lineConditionsTorsZ2 -- compute a list of possible loci for Z/2Z-Godeaux surfaces

Synopsis

Description

The order of the torsion group does only depend on the choice of the line in the complete intersection of the quadratic relations Q in 11. A numerical Godeaux surface X with torsion group ℤ/2 has a double bicanonical curve 2D2, where D2 ∈|KX + t2| with a torsion element t2 of order 2. To construct surfaces with such a curve, the chosen line in Q must intersect a particular loci in Q which is determined in this procedure.

Ways to use lineConditionsTorsZ2 :