Deformations of hypersurfaces with a one-dimensional singular locus

DOI10.1016/0022-4049(90)90163-CzbMath0733.32026OpenAlexW2129175520MaRDI QIDQ810213

Pellikaan, Ruud

Publication date: 1990

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(90)90163-c

zbMATH Keywords

deformation of analytic functionMorsification

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Complex surface and hypersurface singularities (32S25) Deformations of complex singularities; vanishing cycles (32S30) Algebras of holomorphic functions of several complex variables (32A38) Deformations of submanifolds and subspaces (32G10)

Related Items

Finite determinacy of matrices over local rings. tangent modules to the miniversal deformation for \(R\)-linear group actions, Topological properties of certain singularities with critical locus a 2- dimensional complete intersection, A deformation theory for non-isolated singularities, The vanishing cohomology of non‐isolated hypersurface singularities, Invariants of non-isolated singularities of hypersurfaces, The simple connectivity of links of singularities with one-dimensional critical locus, Deformation of polar methods, Gorenstein-duality for one-dimensional almost complete intersections-with an application to non-isolated real singularities, Deformations of the normalization of hypersurfaces

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