About the computation of the signature of surface singularities \(z ^{N } + g(x, y) = 0\)

DOI10.2478/S11533-011-0076-1zbMath1244.14050arXiv1103.5826OpenAlexW3100624733MaRDI QIDQ432228

Muhammad Ahsan Banyamin, Stefan Steidel, Gerhard Pfister

Publication date: 3 July 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.5826

zbMATH Keywords

signaturesurface singularityintersection formeta-invariantSeifert form

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computational aspects of algebraic surfaces (14Q10) Singularities of surfaces or higher-dimensional varieties (14J17) Software, source code, etc. for problems pertaining to algebraic geometry (14-04)

Uses Software

• SINGULAR
• surfacesignature.lib

Cites Work

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• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• A supplement to the monodromy theorem
• Exponents and Newton polyhedra of isolated hypersurface singularities
• Algebroid curves in positive characteristic
• Dedekind sums and the signature of \(f(x,y)+z^N\)
• The equivariant signature of hypersurface singularities and eta- invariant
• The Milnor fibre signature is not semi-continuous
• SINGULAR
• Singular Points of Complex Hypersurfaces. (AM-61)

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