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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.10888 |
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| _version_ | 1866911379035783168 |
|---|---|
| author | Maniyar, Arjun |
| author_facet | Maniyar, Arjun |
| contents | The cross-ratio degree problem asks for the number of configurations of $n$ points in $\mathbb{P}^1$ that satisfy $n-3$ specified cross-ratio conditions. It is known that the maximal cross-ratio degree for 8 points is at least 4. In this paper, we will see that the maximal cross-ratio degree for 8 points in $\mathbb{P}^1$ is equal to 4. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_10888 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Maximal cross-ratio degree for 8 points in $\mathbb{P}^1$ Maniyar, Arjun Algebraic Geometry Combinatorics The cross-ratio degree problem asks for the number of configurations of $n$ points in $\mathbb{P}^1$ that satisfy $n-3$ specified cross-ratio conditions. It is known that the maximal cross-ratio degree for 8 points is at least 4. In this paper, we will see that the maximal cross-ratio degree for 8 points in $\mathbb{P}^1$ is equal to 4. |
| title | Maximal cross-ratio degree for 8 points in $\mathbb{P}^1$ |
| topic | Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2601.10888 |