Topological triviality of families of functions on analytic varieties

DOI10.1017/S0027763000008886zbMath1080.32027OpenAlexW1922927971MaRDI QIDQ4652214

J. N. Tomazella, Maria Aparecida Soares Ruas

Publication date: 24 February 2005

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

Full work available at URL: https://doi.org/10.1017/s0027763000008886

zbMATH Keywords

deformationssingularities of analytic mapstoplogical triviality

Mathematics Subject Classification ID

Equisingularity (topological and analytic) (32S15) Deformations of complex singularities; vanishing cycles (32S30) Topological properties of mappings on manifolds (58K15) Classification; finite determinacy of map germs (58K40) Deformation of singularities (58K60)

Related Items (2)

NON-NEGATIVE DEFORMATIONS OF WEIGHTED HOMOGENEOUS SINGULARITIES ⋮ Invariants of topological relative right equivalences

Cites Work

• \(C^\ell\)-determinacy of weighted homogeneous germs
• Critical points of functions on analytic varieties
• Polyedres de Newton et nombres de Milnor
• Stratification Theory from the Weighted Point of View
• Deformations of Sections of Singularities and Gorenstein Surface Singularities
• Complete transversals and the classification of singularities
• Topological triviality and versality for subgroups of A and K. II. Sufficient conditions and applications
• On the freeness of equisingular deformations of plane curve singularities

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