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arXiv · 2508.14545

Bekka's $(c)$-regularity condition and families of line singularities with constant L\^e numbers

Christophe Eyral·Öznur Turhan
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Abstract

We show that the natural stratifications arising from certain deformation families of line singularities with constant L\^e 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.

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Christophe Eyral, Öznur Turhan. 2025-08-20. Bekka's $(c)$-regularity condition and families of line singularities with constant L\^e numbers. https://arxiv.org/abs/2508.14545

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