On the Number of Singularities in Generic Deformations of Map Germs

DOI10.1112/S0024610798006413zbMath0941.58026OpenAlexW2134214190MaRDI QIDQ4265480

Toshizumi Fukui, Juan Jose Nuño-Ballesteros, Marcelo José Saia

Publication date: 1 August 2000

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

Full work available at URL: https://doi.org/10.1112/s0024610798006413

zbMATH Keywords

multiplicitydeterminantal idealsJacobian idealisolated singularitiesstable perturbationsBoardman symbolBoardman stratacross cuspsMinor numberthe number of cusps

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Complete intersections (14M10) Implicit function theorems, Jacobians, transformations with several variables (26B10) Deformations of complex singularities; vanishing cycles (32S30) Classification; finite determinacy of map germs (58K40) Deformation of singularities (58K60)

Related Items (5)

COUNTING SINGULARITIES VIA FITTING IDEALS ⋮ Whitney's umbrellas in stable perturbations of a map germ \((\mathbb R^n,0)\to (\mathbb R^{2n-1},0)\) ⋮ Null surfaces of null curves on 3-null cone ⋮ Cobordism of Morse functions on surfaces, the universal complex of singular fibers and their application to map germs ⋮ Cobordism of Morse maps and its application to map germs

This page was built for publication: On the Number of Singularities in Generic Deformations of Map Germs