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Analytic approach to deformation of resolution of normal isolated singularities: Formal deformations

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Abstract

We give an analytic approach to the versal deformation of a resolution of a germ of normal isolated singularities. In this paper, we treat only formal deformation theory and it is applied to complete the CR-description of the simultaneous resolution of a cone over a rational curve of degree $n$ in ${\mathbf P}^n\; (n\le 4)$.

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