Simple Cohen–Macaulay Codimension 2 Singularities

DOI10.1080/00927870802606018zbMath1193.32015arXiv0808.2439OpenAlexW2963801550MaRDI QIDQ5305986

Anne Frühbis-Krüger, Alexander Neumer

Publication date: 24 March 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2439

zbMATH Keywords

fat pointsclassification of singularitiesspace curvessimple singularitiesHilbert-Burch theoremadjacencies

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Complex surface and hypersurface singularities (32S25) Deformations of complex singularities; vanishing cycles (32S30) Local complex singularities (32S05) Deformations of singularities (14B07)

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Uses Software

• SINGULAR

Cites Work

• Singularities of projections of full intersections
• The Milnor number and deformations of complex curve singularities
• The deformations of the simple space curve singularities
• Partial standard bases as a tool for studying families of singularities
• Deformations of Cohen-Macaulay Schemes of Codimension 2 and Non-Singular Deformations of Space Curves
• Classification of simple space curve singularities
• SINGULAR
• Simple singularities of space curves