Bekka’s (c)-regularity condition and families of line singularities with constant Lê numbers

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Eyral C., Turhan Ö.

Manuscripta Mathematica, cilt.177, sa.4, 2026 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 177 Sayı: 4
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1007/s00229-026-01731-5
  • Dergi Adı: Manuscripta Mathematica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET, Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Galatasaray Üniversitesi Adresli: Hayır

Özet

We show that the natural stratifications arising from certain deformation families of line singularities with constant Lê numbers satisfy Bekka’s (c)-regularity condition. As a corollary, we obtain that these families are topologically equisingular. Similar results for families of isolated singularities were established by Abderrahmane.