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arXiv · 2604.03018

New $\mu$-Zariski pairs of surface singularities

Christophe Eyral·Masaharu Ishikawa·Mutsuo Oka·Öznur Turhan
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Abstract

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

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Christophe Eyral, Masaharu Ishikawa, Mutsuo Oka, Öznur Turhan. 2026-04-03. New $\mu$-Zariski pairs of surface singularities. https://arxiv.org/abs/2604.03018

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