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arXiv · 2601.10888

Maximal cross-ratio degree for 8 points in $\mathbb{P}^1$

Arjun Maniyar
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Abstract

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.

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Arjun Maniyar. 2026-01-15. Maximal cross-ratio degree for 8 points in $\mathbb{P}^1$. https://arxiv.org/abs/2601.10888

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