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Deformation Theory of CR-Structures and Its Application to Deformations of Isolated Singularities I

Deformation Theory of CR-Structures and Its Application to Deformations of Isolated Singularities I

Let (V, o) be a normal isolated singularity in cN of complex dimension n.We would like to study a deformation theory of complex structures of (V, o).This problem is studied in several ways.For example, (1) Grauert's method (cf.[Grl]), (2) Douady's method (cf.[Dou]), (3) Kuranishi's approach (cf.[Kul], [Ku2]), etc.In this paper, …