A moduli scheme of embedded curve singularities (Q927324)

Let \(K\) be an algebraically closed field. The existence of the moduli space \(H_{N,p}\) parametrizing the embedded curve singularities in \((\mathbb C^N,0)\) with admissible Hilbert polynomial \(p\) is proved. \(H_{N,p}\) is not locally of finite type. It is a projective limit of schemes of finite type. The tangent space ot \(H_{N,p}\) at a closed point is computed.