The signed Varchenko Determinant for Complexes of Oriented Matroids
Combinatorics
2025-01-17 v3 Algebraic Geometry
Abstract
We generalize the (signed) Varchenko matrix of a hyperplane arrangement to complexes of oriented matroids and show that its determinant has a nice factorization. This extends previous results on hyperplane arrangements and oriented matroids.
Cite
@article{arxiv.2211.13986,
title = {The signed Varchenko Determinant for Complexes of Oriented Matroids},
author = {Winfried Hochstättler and Sophia Keip and Kolja Knauer},
journal= {arXiv preprint arXiv:2211.13986},
year = {2025}
}
Comments
20 Pages, 3 figures