New relative μ-Zariski pairs of surface singularities

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Eyral C., Ishikawa M., Oka M., Turhan Ö.

Geometriae Dedicata, cilt.220, sa.6, 2026 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 220 Sayı: 6
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1007/s10711-026-01121-x
  • Dergi Adı: Geometriae Dedicata
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
  • Anahtar Kelimeler: Almost Newton non-degenerate function, Complex surface singularity, Dual resolution graph, Monodromy zeta-function, μ-constant stratum, μ-Zariski pair
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Galatasaray Üniversitesi Adresli: Hayır

Özet

To the best of the authors’ knowledge, all previously known examples of classical μ-, μ∗-, link-, or ordinary Zariski pairs of surface singularities in C3 consist of (possibly weighted) Lê–Yomdin singularities. In this paper, we present an example of a relativeμ-Zariski pair involving surface singularities that are not of Lê–Yomdin type.