Deletion-addition of a smooth conic for free curves
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910069461876736 |
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| author | Macinic, Anca |
| author_facet | Macinic, Anca |
| contents | We describe the behaviour of a free reduced plane projective curve with respect to the deletion, respectively addition, of a smooth conic. These results apply in particular to conic-line arrangements. We present some obstructions to the geometry and combinatorics of a free reduced curve, generalizing results known a priori only for free projective line arrangements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11714 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deletion-addition of a smooth conic for free curves Macinic, Anca Algebraic Geometry Commutative Algebra 14H50 We describe the behaviour of a free reduced plane projective curve with respect to the deletion, respectively addition, of a smooth conic. These results apply in particular to conic-line arrangements. We present some obstructions to the geometry and combinatorics of a free reduced curve, generalizing results known a priori only for free projective line arrangements. |
| title | Deletion-addition of a smooth conic for free curves |
| topic | Algebraic Geometry Commutative Algebra 14H50 |
| url | https://arxiv.org/abs/2408.11714 |