The Signed Varchenko Determinant for Complexes of Oriented Matroids
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.
Authors
- Sophia Keip (ORCID: https://orcid.org/0000-0002-8524-5132)
- Winfried Hochstättler (ORCID: https://orcid.org/0000-0001-7344-7143)
- Kolja Knauer (ORCID: https://orcid.org/0000-0002-8151-2184)
Institutions
- FernUniversität in Hagen (DE)
- Universitat de Barcelona (ES)
Publication Details
- Journal
- COMBINATORICA
- Published
- 2025-03-17
- DOI
- https://doi.org/10.1007/s00493-025-00138-2
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00