Coarse moduli space of ordinary multiple points in the plane (Q1319301)

This paper provides a complete classification of ordinary multiple points in complex plane by an explicit collection of algebraic varieties having the property of coarse moduli space of these singularities for fixed multiplicity and fixed Tjurina number. Thereby, a list of all occurring Hilbert functions associated to Tjurina algebras of the singularities is obtained in 1-1 correspondence with the connected components of the moduli spaces.