Deformations with constant Lê numbers and multiplicity of nonisolated hypersurface singularities

DOI10.1215/00277630-2847026zbMath1408.32029OpenAlexW2028031349MaRDI QIDQ5259313

Christophe Eyral, Maria Aparecida Soares Ruas

Publication date: 26 June 2015

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nmj/1418307267

zbMATH Keywords

multiplicitieshypersurface singularitiesZariski's multiplicity conjecturedeformations with constant Lê numbersThom's \(a_{f}\) condition

Mathematics Subject Classification ID

Equisingularity (topological and analytic) (32S15) Complex surface and hypersurface singularities (32S25) Local complex singularities (32S05)

Related Items (3)

Equimultiplicity of families of map germs from \({\mathbb{C}}^2\) to \({\mathbb{C}}^3\) ⋮ On the Zariski multiplicity conjecture for weighted homogeneous and Newton nondegenerate line singularities ⋮ Topologically equisingular deformations of homogeneous hypersurfaces with line singularities are equimultiple

Cites Work

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• Zariski's multiplicity question and aligned singularities
• Constant Milnor number implies constant multiplicity for quasihomogeneous singularities
• Polyedres de Newton et nombres de Milnor
• Lê cycles and hypersurface singularities
• Advances and improvements in the theory of standard bases and syzygies
• The Lê numbers of the square of a function and their applications
• Topologically Trivial Deformations of Isolated Quasihomogeneous Hypersurface Singularities are Equimultiple
• The Invariance of Milnor's Number Implies the Invariance of the Topological Type
• On the Topology of Algebroid Singularities
• DEFORMATIONS WITH CONSTANT MILNOR NUMBER AND MULTIPLICITY OF COMPLEX HYPERSURFACES The first named author is partially supported by CNPq-Grant 30055692-6.
• ON THE MULTIPLICITIES OF FAMILIES OF COMPLEX HYPERSURFACE-GERMS WITH CONSTANT MILNOR NUMBER
• Some open questions in the theory of singularities

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