Work

Cross‐ratio degrees and triangulations

Year: 2024

Type: article

Abstract: The cross‐ratio degree problem counts configurations of points on with prescribed cross‐ratios. Cross‐ratio degrees arise in many corners of combinatorics and geometry, but their structure is not well‐understood in general. Interestingly, examining various special cases of the problem can yield combinatorial structures that are both diverse and rich. In this paper, we prove a simple closed formula for a class of cross‐ratio degrees indexed by triangulations of an ‐gon; these degrees are connected to the geometry of the real locus of , and to positive geometry.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.13148

Author: Rob Silversmith

Institution: University of Warwick

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

OpenAlex ID: W4402567814

FWCI: 1.065

Cites: 16

Cited by: 1

Related to: 10