2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140021The main purpose of this paper is to prove the existence of the moduli space parameterizing the embedded curve singularities of $(k^N,0)$ with an admissible Hilbert polynomial and to study its basic properties.Algebraic GeometryCommutative Algebra14H20; 14B07; 14D22text