New $μ$-Zariski pairs of surface singularities
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908934898450432 |
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| author | Eyral, Christophe Ishikawa, Masaharu Oka, Mutsuo Turhan, Öznur |
| author_facet | Eyral, Christophe Ishikawa, Masaharu Oka, Mutsuo Turhan, Öznur |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_03018 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | New $μ$-Zariski pairs of surface singularities Eyral, Christophe Ishikawa, Masaharu Oka, Mutsuo Turhan, Öznur Algebraic Geometry 14B05, 14J17, 32S05, 32S25 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. |
| title | New $μ$-Zariski pairs of surface singularities |
| topic | Algebraic Geometry 14B05, 14J17, 32S05, 32S25 |
| url | https://arxiv.org/abs/2604.03018 |