On linear deformations of Brieskorn singularities of two variables into generic maps

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

研究成果: Article査読

3 被引用数 (Scopus)

抄録

In this paper, we study deformations of Brieskorn polynomials of two variables obtained by adding linear terms consisting of the conjugates of complex variables and prove that the deformed polynomial maps have only indefinite fold and cusp singularities in general. We then estimate the number of cusps appearing in such a deformation. As a corollary, we show that a deformation of a complex Morse singularity with real linear terms has only indefinite folds and cusps in general and the number of cusps is 3.

本文言語English
ページ(範囲)85-111
ページ数27
ジャーナルTohoku Mathematical Journal
69
1
DOI
出版ステータスPublished - 2017 3
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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