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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 $\mathbb{Z}/5$ is birational to a union of two copies of $\mathbb{P}^1$. The procedures gives two parametrization homomorphisms from $S_a$ to the coordinate ring of a $\mathbb{P}^1 \ \times \ \mathbb{P}^1$, where the image of each map gives a point in $Q$ whose connecting line is completely contained in $Q$ and leads generically to a $\mathbb{Z}/5$-Godeaux surface.

Ways to use precomputedTorsZ5Line :

For the programmer

The object precomputedTorsZ5Line is a method function.