Determinacy of smooth germs with real isolated line singularities (Q2716125)
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scientific article; zbMATH DE number 1602181
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Determinacy of smooth germs with real isolated line singularities |
scientific article; zbMATH DE number 1602181 |
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Determinacy of smooth germs with real isolated line singularities (English)
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6 June 2001
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non-isolated singularities
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line singularities
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finite determinacy
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Let \((V(f),0) \subseteq (\mathbb{C}^n,0)\) be the germ of an isolated line singularity (i.e., a non-isolated singularity such that the singular locus \(\Sigma(f)\) is a smooth curve and the transversal sections are \(A_1\) singularities). Those singularities are finitely determined inside the space of singularities with singular locus containing \(\Sigma(f)\) [\textit{D. Siersma}, Proc. Symp. Pure Math. 40, Part 2, 485-496 (1983; Zbl 0514.32007)]. NEWLINENEWLINENEWLINEIn this paper the analogue for real analytic or smooth functions is proved.
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