Maximal cross-ratio degree for 8 points in $\mathbb{P}^1$
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.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Advanced Combinatorial Mathematics
Mathematics and Applications
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 15 January 2026
- Document type
- Preprint