arXiv subjects

Öznur Turhan

Publications and source records attributed to Öznur Turhan.

2 recordsLinked to original sources

arXiv2026

New $μ$-Zariski pairs of surface singularities

To the best of the authors' knowledge, all previously known examples of $μ$-, $μ^*$-, link-, or ordinary Zariski pairs of surface singularities in $\mathbb{C}^3$ consist of (possibly weighted) Lê-Yomdin singularities. In this paper, we present an example of a $μ$-Zariski pair involving surface singularities that are not of Lê-Yomdin type.

math.AG↗

arXiv2025

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

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.

math.AG↗