About the computation of the signature of surface singularities \(z ^{N } + g(x, y) = 0\) (Q432228)
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scientific article; zbMATH DE number 6052604
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | About the computation of the signature of surface singularities \(z ^{N } + g(x, y) = 0\) |
scientific article; zbMATH DE number 6052604 |
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About the computation of the signature of surface singularities \(z ^{N } + g(x, y) = 0\) (English)
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3 July 2012
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Given a surface by an implicit equation \(z^N+g(x,y)=0\) such that the origin is an isolated singularity, the paper reports on an implementation in the \texttt{Singular} system to find the signature of this singularity. Three different methods are implemented: Puiseux expansions, resolution of singularities and spectral pairs. The experimental results reveal that the third method is much slower, while the first two ones provide similar timings.
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signature
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surface singularity
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intersection form
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Seifert form
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eta-invariant
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