On deformation with constant Milnor number and Newton polyhedron

DOI10.1007/s00209-016-1650-9zbMath1369.14007arXiv1503.02472OpenAlexW1742915612MaRDI QIDQ329967

Ould M. Abderrahmane

Publication date: 24 October 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02472

zbMATH Keywords

Newton polyhedrondeformation with constant Milnor numberZariski conjecture

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Local complex singularities (32S05)

Related Items (4)

Equimultiplicity of families of map germs from \({\mathbb{C}}^2\) to \({\mathbb{C}}^3\) ⋮ Newton non-degenerate -constant deformations admit simultaneous embedded resolutions ⋮ On the Zariski multiplicity conjecture for weighted homogeneous and Newton nondegenerate line singularities ⋮ The Łojasiewicz exponent in non-degenerate deformations of surface singularities

Cites Work

• Constant Milnor number implies constant multiplicity for quasihomogeneous singularities
• Equisingular deformations of isolated 2-dimensional hypersurface singularities
• Polyedres de Newton et nombres de Milnor
• On the bifurcation of the multiplicity and topology of the Newton boundary
• The theory of stratification relative to a Newton polyhedron.
• 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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