Pencils of Conic-Line Curves
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866918516949516288 |
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| author | Suluyer, Hasan |
| author_facet | Suluyer, Hasan |
| contents | In this paper, we study the restrictions on the number $m$ of conic-line curves in special pencils. The most general result we obtain is the relation between upper bounds on $m$ and the number $p$ of concurrent lines in these pencils. We construct a one-parameter family of pencils such that each pencil in the family contains exactly 4 conic-line curves. We also deal with pencils whose conic-line curves are in general position. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06928 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pencils of Conic-Line Curves Suluyer, Hasan Algebraic Geometry Combinatorics 14N20, 14H50, 55R55 In this paper, we study the restrictions on the number $m$ of conic-line curves in special pencils. The most general result we obtain is the relation between upper bounds on $m$ and the number $p$ of concurrent lines in these pencils. We construct a one-parameter family of pencils such that each pencil in the family contains exactly 4 conic-line curves. We also deal with pencils whose conic-line curves are in general position. |
| title | Pencils of Conic-Line Curves |
| topic | Algebraic Geometry Combinatorics 14N20, 14H50, 55R55 |
| url | https://arxiv.org/abs/2412.06928 |