A Classification Algorithm for Complex Singularities of Corank and Modality up to Two

DOI10.1007/978-3-319-28829-1_2zbMath1376.14005arXiv1604.04774OpenAlexW2337966522MaRDI QIDQ5267810

Gerhard Pfister, Magdaleen S. Marais, Janko Böhm

Publication date: 13 June 2017

Published in: Singularities and Computer Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.04774

zbMATH Keywords

hypersurface singularitiesalgorithmic classificationArnold normal formsmoduli parameters

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Computational aspects of algebraic curves (14Q05) Complex surface and hypersurface singularities (32S25) Hypersurfaces and algebraic geometry (14J70)

Related Items (1)

The classification of real singularities using \textsc{Singular}. III: Unimodal singularities of corank 2

Uses Software

• SINGULAR
• classify.lib
• realclassify.lib
• classify2.lib
• GitHub

Cites Work

• The classification of real singularities using \textsc{Singular}. I: Splitting lemma and simple singularities
• The classification of real singularities using Singular. II: The structure of the equivalence classes of the unimodal singularities.
• Polyedres de Newton et nombres de Milnor
• NORMAL FORMS OF FUNCTIONS IN NEIGHBOURHOODS OF DEGENERATE CRITICAL POINTS
• Introduction to Singularities and Deformations
• Unnamed Item
• Unnamed Item

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