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NumericalGodeaux :: precomputedTorsZ5Line

precomputedTorsZ5Line -- compute a line leading generically to a Z/5-Godeaux surface using a unirational parametrization

Synopsis

Description

The locus of lines in Q leading generically to marked numerical Godeaux surfaces with torsion group ℤ/5 is birational to a union of two copies of 1. The procedures gives two parametrization homomorphisms from Sa to the coordinate ring of a 1  × ℙ1, where the image of each map gives a point in Q whose connecting line is completely contained in Q and leads generically to a ℤ/5-Godeaux surface.

Ways to use precomputedTorsZ5Line :