The deformations of the simple space curve singularities (Q1297943)

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scientific article; zbMATH DE number 1336823
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The deformations of the simple space curve singularities
scientific article; zbMATH DE number 1336823

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    The deformations of the simple space curve singularities (English)
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    11 April 2000
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    Marc Giusti classified the simple isolated complete intersection singularities of positive dimension and showed that besides the simple hypersurface singularities there are only simple singularities of curves in complex 3-space. He also gave a list of adjacencies between singularities. Later V. V. Goryunov found some additional adjacencies, but the complete list remained unknown. The authors of this paper show the complete list of adjacencies between the simple space curve singularities which are not hypersurface singularities and complete Giusti's list by two new deformations.
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    deformation
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    space curve
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    singularity
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