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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2305.01530 |
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| _version_ | 1866916177044832256 |
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| author | Talar, Przemysław |
| author_facet | Talar, Przemysław |
| contents | In the present note we study combinatorial and algebraic properties of cubic-line arrangements in the complex projective plane admitting nodes, ordinary triple and $A_{5}$ singular points. We deliver a Hirzebruch-type inequality for such arrangement and we study the freeness of such arrangements providing an almost complete classification. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_01530 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On cubic-line arrangements with simple singularities Talar, Przemysław Algebraic Geometry Combinatorics 14N20, 14C20 In the present note we study combinatorial and algebraic properties of cubic-line arrangements in the complex projective plane admitting nodes, ordinary triple and $A_{5}$ singular points. We deliver a Hirzebruch-type inequality for such arrangement and we study the freeness of such arrangements providing an almost complete classification. |
| title | On cubic-line arrangements with simple singularities |
| topic | Algebraic Geometry Combinatorics 14N20, 14C20 |
| url | https://arxiv.org/abs/2305.01530 |