The Cayley-Bacharach property and the Levinson-Ullery conjecture
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911298750513152 |
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| author | Le, Ngoc Long Linh, Tran N. K. |
| author_facet | Le, Ngoc Long Linh, Tran N. K. |
| contents | In this paper, we study the geometric configurations of a finite set of points having the Cayley-Bacharach property in the $n$-dimensional projective space $\bbP^n$. Our main contribution is the proof of the Levinson-Ullery conjecture for the previously unsolved case where $d=4$ and $r\ge 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22113 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Cayley-Bacharach property and the Levinson-Ullery conjecture Le, Ngoc Long Linh, Tran N. K. Algebraic Geometry In this paper, we study the geometric configurations of a finite set of points having the Cayley-Bacharach property in the $n$-dimensional projective space $\bbP^n$. Our main contribution is the proof of the Levinson-Ullery conjecture for the previously unsolved case where $d=4$ and $r\ge 1$. |
| title | The Cayley-Bacharach property and the Levinson-Ullery conjecture |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2511.22113 |