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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.18088 |
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| _version_ | 1866913706646962176 |
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| author | Dumnicki, Marcin Malara, Grzegorz Tutaj-Gasińska, Halszka |
| author_facet | Dumnicki, Marcin Malara, Grzegorz Tutaj-Gasińska, Halszka |
| contents | In the paper we provide a new method of proving the existence of a hypersurface of degree $d$ in $\mathbb{P}^n$, with a general point of multiplicity $m$ and vanishing at a given set of points $Z$, by looking at weak combinatorics of a set $Z$. This method has a direct application in the theory of unexpected hypersurfaces, where many of the examples are based only on computer experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18088 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Matrixwise (approach to unexpected hypersurfaces) Reloaded Dumnicki, Marcin Malara, Grzegorz Tutaj-Gasińska, Halszka Algebraic Geometry 14N20, 14N05, 14M15, 15A06 In the paper we provide a new method of proving the existence of a hypersurface of degree $d$ in $\mathbb{P}^n$, with a general point of multiplicity $m$ and vanishing at a given set of points $Z$, by looking at weak combinatorics of a set $Z$. This method has a direct application in the theory of unexpected hypersurfaces, where many of the examples are based only on computer experiments. |
| title | Matrixwise (approach to unexpected hypersurfaces) Reloaded |
| topic | Algebraic Geometry 14N20, 14N05, 14M15, 15A06 |
| url | https://arxiv.org/abs/2502.18088 |