Topologically equisingular deformations of homogeneous hypersurfaces with line singularities are equimultiple

DOI10.1142/S0129167X1750029XzbMath1373.14006arXiv1506.07996OpenAlexW2963283897MaRDI QIDQ5269884

Christophe Eyral

Publication date: 28 June 2017

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

Full work available at URL: https://arxiv.org/abs/1506.07996

zbMATH Keywords

equimultiplicityThom's \(a_f\) conditionZariski's multiplicity conjecturedeformations with constant Lê numbershomogeneous hypersurfaces with line singularitiestopological \(\mathcal V\)-equisingularity

Mathematics Subject Classification ID

Equisingularity (topological and analytic) (32S15) Complex surface and hypersurface singularities (32S25) Hypersurfaces and algebraic geometry (14J70) Deformations of singularities (14B07)

Related Items

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

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