Reconstruction of a hypersurface singularity from its moduli algebra

DOI10.1007/s40687-024-00432-3arXiv2212.00566OpenAlexW4392166715MaRDI QIDQ6151051

J. H. O. Rodrigues

Publication date: 7 March 2024

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.00566

zbMATH Keywords

hypersurface singularityMather-Yau theoremmoduli algebrasGaffney-Hauser theoremTjurina algebras

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Equisingularity (topological and analytic) (32S15) Singularities of curves, local rings (14H20) Local complex singularities (32S05) Deformations of singularities (14B07)

Cites Work

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• Characterizing singularities of varieties and of mappings
• Classification of isolated hypersurface singularities by their moduli algebras
• Local normal forms of functions
• Explicit reconstruction of homogeneous isolated hypersurface singularities from their Milnor algebras
• Introduction to Singularities and Deformations
• Hypersurface singularities with monomial Jacobian ideal
• On Tjurina ideals of hypersurface singularities

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