Newton weighted-Lê-Yomdin polynomials and $μ$-Zariski pairs of surface singularities
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915609332154368 |
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| author | Eyral, Christophe Ishikawa, Masaharu Oka, Mutsuo |
| author_facet | Eyral, Christophe Ishikawa, Masaharu Oka, Mutsuo |
| contents | We investigate surface singularities defined by weighted-Lê-Yomdin polynomials, with a particular focus on a specific subclass that we refer to as Newton weighted-Lê-Yomdin polynomials. In particular, using polynomials in this subclass, we develop a method to construct new $μ$-Zariski pairs of surface singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06939 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Newton weighted-Lê-Yomdin polynomials and $μ$-Zariski pairs of surface singularities Eyral, Christophe Ishikawa, Masaharu Oka, Mutsuo Algebraic Geometry 14B05, 14J17, 32S05, 32S25 We investigate surface singularities defined by weighted-Lê-Yomdin polynomials, with a particular focus on a specific subclass that we refer to as Newton weighted-Lê-Yomdin polynomials. In particular, using polynomials in this subclass, we develop a method to construct new $μ$-Zariski pairs of surface singularities. |
| title | Newton weighted-Lê-Yomdin polynomials and $μ$-Zariski pairs of surface singularities |
| topic | Algebraic Geometry 14B05, 14J17, 32S05, 32S25 |
| url | https://arxiv.org/abs/2511.06939 |