Incidence toric ideals and three-point functions
Commutative Algebra
2026-05-25 v1 Combinatorics
Abstract
We study the ideal of the algebraic relations among 3-point functions from a combinatorial and topological perspective. We place this problem in the broader setting of incidence toric ideals associated with incidence matrices of t-subsets contained in k-subsets of n elements. Generators of these ideals admit combinatorial interpretations as null t-designs and topological interpretations as balanced orientable normal d-pseudomanifolds without boundary. Generators arising from octahedra play a fundamental role in the structure of these ideals.
Cite
@article{arxiv.2605.23849,
title = {Incidence toric ideals and three-point functions},
author = {Barbara Betti and Sean Grate and Thiago Holleben and Flavio Salizzoni},
journal= {arXiv preprint arXiv:2605.23849},
year = {2026}
}
Comments
22 pages, 4 figures