About the computation of the signature of surface singularities \(z ^{N } + g(x, y) = 0\). (English) Zbl 1244.14050
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 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.
Reviewer: Juan Gerardo Alcazar (Alcala da Henares)
MSC:
| 14Q10 | Computational aspects of algebraic surfaces |
| 14J17 | Singularities of surfaces or higher-dimensional varieties |
| 68W30 | Symbolic computation and algebraic computation |
| 14-04 | Software, source code, etc. for problems pertaining to algebraic geometry |
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