Geodesic
Locally semiuniversal flat deformations of isolated singularities of complex spaces
Izvestiya. Mathematics , Tome 3 (1969) no. 5, pp. 967-999.

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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 $(X_0,0(X_0))$. 
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     author = {G. N. Tyurina},
     title = {Locally semiuniversal flat deformations of isolated singularities of complex spaces},
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G. N. Tyurina. Locally semiuniversal flat deformations of isolated singularities of complex spaces. Izvestiya. Mathematics , Tome 3 (1969) no. 5, pp. 967-999. http://geodesic.mathdoc.fr/item/IM2_1969_3_5_a2/

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