Modular deformations and space curve singularities (Q1884052)

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scientific article; zbMATH DE number 2109610
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Modular deformations and space curve singularities
scientific article; zbMATH DE number 2109610

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    Modular deformations and space curve singularities (English)
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    25 October 2004
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    Different concepts of modular deformations of germs of isolated singularities (infinitesimal, Artinian, formal) are introduced. The corresponding obstruction theory is based on the graded Lie algebra structure of the tangent cohomology. As an application the characterization of the maximal infinitesimally modular substratum of the miniversal family as flattening stratum of the relative Tjurina module is given for space curve singularities.
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    versal deformation
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    curve singularities
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    local moduli
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