Work

The Signed Varchenko Determinant for Complexes of Oriented Matroids

Year: 2025

Type: article

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.

Source: COMBINATORICA

DOI: 10.1007/s00493-025-00138-2

Authors: Winfried Hochstättler, Sophia Keip, Kolja Knauer

Institutions: FernUniversität in Hagen, Universitat de Barcelona

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Agence Nationale de la Recherche, Ministerio de Asuntos Económicos y Transformación Digital, Gobierno de España