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arXiv · 2511.06939

Newton weighted-L\^e-Yomdin polynomials and $\mu$-Zariski pairs of surface singularities

Christophe Eyral·Masaharu Ishikawa·Mutsuo Oka
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Abstract

We investigate surface singularities defined by weighted-L\^e-Yomdin polynomials, with a particular focus on a specific subclass that we refer to as Newton weighted-L\^e-Yomdin polynomials. In particular, using polynomials in this subclass, we develop a method to construct new $\mu$-Zariski pairs of surface singularities.

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Christophe Eyral, Masaharu Ishikawa, Mutsuo Oka. 2025-11-10. Newton weighted-L\^e-Yomdin polynomials and $\mu$-Zariski pairs of surface singularities. https://arxiv.org/abs/2511.06939

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