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Straight equisingular deformations and punctual Hilbert schemes

Straight equisingular deformations and punctual Hilbert schemes

We study "straight equisingular deformations", a linear subfunctor of all equisingular deformations and describe their seminuniversal deformation by an ideal containing the fixed Tjurina ideal.Moreover, we show that the base space of the seminuniversal straight equisingular deformation appears as the fibre of a morphism from the µ-constant stratum onto a …