The realization spaces of certain conic-line arrangements of degree 7
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929491562987520 |
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| author | Bannai, Shinzo Tokunaga, Hiro-o Yorisaki, Emiko |
| author_facet | Bannai, Shinzo Tokunaga, Hiro-o Yorisaki, Emiko |
| contents | We study the embedded topology of certain conic-line arrangements of degree 7. Two new examples of Zariski pairs are given. Furthermore, we determine the number of connected components of the conic-line arrangements. We also calculate the fundamental groups using SageMath and the package Sirocco in the appendix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_05011 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The realization spaces of certain conic-line arrangements of degree 7 Bannai, Shinzo Tokunaga, Hiro-o Yorisaki, Emiko Algebraic Geometry Combinatorics Geometric Topology 14H50, 14H10, 14H30, 14J27 We study the embedded topology of certain conic-line arrangements of degree 7. Two new examples of Zariski pairs are given. Furthermore, we determine the number of connected components of the conic-line arrangements. We also calculate the fundamental groups using SageMath and the package Sirocco in the appendix. |
| title | The realization spaces of certain conic-line arrangements of degree 7 |
| topic | Algebraic Geometry Combinatorics Geometric Topology 14H50, 14H10, 14H30, 14J27 |
| url | https://arxiv.org/abs/2409.05011 |