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Parametric local cohomology classes and Tjurina stratifications for \(\mu\)-constant deformations of quasi-homogeneous singularities - MaRDI portal

Parametric local cohomology classes and Tjurina stratifications for \(\mu\)-constant deformations of quasi-homogeneous singularities (Q6486892)

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scientific article; zbMATH DE number 6370563
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Parametric local cohomology classes and Tjurina stratifications for \(\mu\)-constant deformations of quasi-homogeneous singularities
scientific article; zbMATH DE number 6370563

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    Parametric local cohomology classes and Tjurina stratifications for \(\mu\)-constant deformations of quasi-homogeneous singularities (English)
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    18 November 2014
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    The author illustrates by an example a method to compute the stratification by Tjurina number of the \(\mu\)-constant stratum of a quasihomogeneous function germ \(f\). It uses multiplication by \(f_t\) not on the Jacobi algebra, but on its dual, the space of local cohomology classes supported at the origin and annihilated by the partial derivatives of \(f\).NEWLINENEWLINEFor the entire collection see [Zbl 1291.32001].
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    quasihomogeneous singularities
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    local cohomology
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    local duality
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