On maximizing curves of degree $7$
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911769478299648 |
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| author | Czarnota, Izabela |
| author_facet | Czarnota, Izabela |
| contents | In the present paper we investigate the question concerning the existence of maximizing curves of degree $7$ with some prescribed ${\rm ADE}$ singularities. We give a result proving the non-existence of such maximizing septics and we provide new examples of conic-line arrangements with some ${\rm ADE}$ singularities that are free but not maximizing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14721 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On maximizing curves of degree $7$ Czarnota, Izabela Algebraic Geometry Combinatorics In the present paper we investigate the question concerning the existence of maximizing curves of degree $7$ with some prescribed ${\rm ADE}$ singularities. We give a result proving the non-existence of such maximizing septics and we provide new examples of conic-line arrangements with some ${\rm ADE}$ singularities that are free but not maximizing. |
| title | On maximizing curves of degree $7$ |
| topic | Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2401.14721 |