The spectrum of a singularity of a germ of a plane curve (Q1175290)
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scientific article; zbMATH DE number 11301
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The spectrum of a singularity of a germ of a plane curve |
scientific article; zbMATH DE number 11301 |
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The spectrum of a singularity of a germ of a plane curve (English)
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25 June 1992
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Let \(X\) be a hypersurface isolated singularity (over \(\mathbb{C}\)) and consider the characteristic polynomial of the monodromy of the Milnor fibration: \(\Delta(t)=\prod^n_{j=1}(t-e^{2\pi i\alpha_j})\), where \(\alpha_j\in\mathbb{Q}\). By definition the set \(\{\alpha_1,\ldots,\alpha_n\}\) is the spectrum of \(X\). The authors give an algorithm to compute this spectrum for any reduced plane curve.
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hypersurface isolated singularity
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Milnor fibration
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algorithm
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computing the spectrum for plane curves
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