Examples of strong Ziegler pairs of conic-line arrangements of degree 7 and 8
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911147192483840 |
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| author | Bannai, Shinzo Tokunaga, Hiro-o |
| author_facet | Bannai, Shinzo Tokunaga, Hiro-o |
| contents | A pair of plane curves with the same combinatorics is said to be (a) a Zariski pair if the plane curves have different embedded topology, and (b) a strong Ziegler pair if their Milnor algebra are not isomorphic. We show that some examples of Zariski pairs are also strong Ziegler pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08403 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Examples of strong Ziegler pairs of conic-line arrangements of degree 7 and 8 Bannai, Shinzo Tokunaga, Hiro-o Algebraic Geometry Combinatorics 14H50, 14Q05 13D02, 51H30 A pair of plane curves with the same combinatorics is said to be (a) a Zariski pair if the plane curves have different embedded topology, and (b) a strong Ziegler pair if their Milnor algebra are not isomorphic. We show that some examples of Zariski pairs are also strong Ziegler pairs. |
| title | Examples of strong Ziegler pairs of conic-line arrangements of degree 7 and 8 |
| topic | Algebraic Geometry Combinatorics 14H50, 14Q05 13D02, 51H30 |
| url | https://arxiv.org/abs/2509.08403 |