Topologically Trivial Deformations of Isolated Quasihomogeneous Hypersurface Singularities are Equimultiple

DOI10.2307/2045992zbMath0628.32029OpenAlexW4238552029MaRDI QIDQ3764439

Donal O'Shea

Publication date: 1987

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2045992

zbMATH Keywords

isolated singularityquasihomogeneous polynomialequimultiple deformationmu-constant deformationupper deformations

Mathematics Subject Classification ID

Deformations of complex singularities; vanishing cycles (32S30) Deformations of singularities (14B07) Complex singularities (32Sxx)

Related Items (16)

Topological Equisingularity: Old Problems from a New Perspective (with an Appendix by G.-M. Greuel and G. Pfister on SINGULAR) ⋮ Deforming spaces of \(m\)-jets of hypersurfaces singularities ⋮ On deformation with constant Milnor number and Newton polyhedron ⋮ Equimultiplicity of families of map germs from \({\mathbb{C}}^2\) to \({\mathbb{C}}^3\) ⋮ Advances and improvements in the theory of standard bases and syzygies ⋮ Families of \(m\)-jet spaces and arc spaces ⋮ Mixed Łojasiewicz exponents and \(\log\) canonical thresholds of ideals ⋮ THE ŁOJASIEWICZ EXPONENT FOR WEIGHTED HOMOGENEOUS POLYNOMIAL WITH ISOLATED SINGULARITY ⋮ Topological types and multiplicities of isolated quasi-homogeneous surface singularities ⋮ ON THE MULTIPLICITIES OF FAMILIES OF COMPLEX HYPERSURFACE-GERMS WITH CONSTANT MILNOR NUMBER ⋮ On polar invariants of hypersurface singularities ⋮ On the Zariski multiplicity conjecture for weighted homogeneous and Newton nondegenerate line singularities ⋮ Invariants of topological relative right equivalences ⋮ Deformations with constant Lê numbers and multiplicity of nonisolated hypersurface singularities ⋮ A Reduction Theorem for the Zariski Multiplicity Conjecture ⋮ Zariski's multiplicity question and aligned singularities

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