Locally semiuniversal flat deformations of isolated singularities of complex spaces

In this study we construct the minimal locally semiuniversal deformation of a normal isolated singularity $x_0\in X_0$ for which $\operatorname{Ext}^2_{0(x_0)}(\Omega(X_0), 0(X_0))_{x_0}=0$, where $\Omega(X_0)$ is the sheaf of germs of one-dimensional holomorphic forms in the complex space $(X_0,0(X_0))$.