Computing moduli spaces for space curve singularities (Q5951563)

The author gives a tool for studying space curve singularities with computational methods. The main algorithm computes, for a given quasihomogeneous presentation matrix \(M\) of an isolated singularity, the kernel of the Kodaira-Spencer map of a family of fixed quasihomogeneous initial part having this singularity as a special fiber. Then the computation of moduli spaces for semiquasihomogeneous space curve singularity can be obtained with Gröbner bases computations.