On Innermost Circles of the Sets of Singular Values for Generic Deformations of Isolated Singularities

Kazumasa Inaba, Masaharu Ishikawa, Masayuki Kawashima, Nguyen Tat Thang

Research output: Contribution to journalArticle

1 Citation (Scopus)


We will show that for each k≠1, there exists an isolated singularity of a real analytic map from ℝ4 to ℝ2 which admits a real analytic deformation such that the set of singular values of the deformed map has a simple, innermost component with k outward cusps and no inward cusps. Conversely, such a singularity does not exist if k=1.

Original languageEnglish
Pages (from-to)237-247
Number of pages11
JournalActa Mathematica Vietnamica
Issue number2
Publication statusPublished - 2017 Jun 1
Externally publishedYes



  • Critical value
  • Excellent map
  • Higher differential
  • Mixed polynomial
  • Stable map

ASJC Scopus subject areas

  • Mathematics(all)

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