ON THE MULTIPLICITIES OF FAMILIES OF COMPLEX HYPERSURFACE-GERMS WITH CONSTANT MILNOR NUMBER

DOI10.1142/S0129167X13500213zbMath1267.14007arXiv1202.5177MaRDI QIDQ4923305

Camille Plénat, David J. A. Trotman

Publication date: 6 June 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5177

zbMATH Keywords

equisingularityequimultiplicity\(\mu\)-constant stratum

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Equisingularity (topological and analytic) (32S15) Complex surface and hypersurface singularities (32S25) Deformations of singularities (14B07)

Related Items (3)

The Łojasiewicz exponent of semiquasihomogeneous singularities ⋮ Equimultiplicity of families of map germs from \({\mathbb{C}}^2\) to \({\mathbb{C}}^3\) ⋮ Deformations with constant Lê numbers and multiplicity of nonisolated hypersurface singularities

Cites Work

• Constant Milnor number implies constant multiplicity for quasihomogeneous singularities
• Conditions de Whitney et sections planes
• Holomorphic universal covering spaces of polynomials without multiple roots
• Les conditions de Whitney impliquent `\(\mu(*)\) constant'
• Normal cones in analytic Whitney stratifications
• Topologically Trivial Deformations of Isolated Quasihomogeneous Hypersurface Singularities are Equimultiple
• The Invariance of Milnor's Number Implies the Invariance of the Topological Type
• Topological Triviality of μ-Constant Deformations of Type f (x ) + tg (x )
• Singular Points of Complex Hypersurfaces. (AM-61)
• Some open questions in the theory of singularities

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