The signed Varchenko determinant for complexes of oriented matroids.
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.
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | España |
| Recursos: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/227135 |
| Acesso em linha: | https://hdl.handle.net/2445/227135 |
| Access Level: | acceso abierto |
| Palavra-chave: | Àlgebra lineal Matroides Combinatòria (Matemàtica) Geometria discreta Linear algebra Matroids Combinations Discrete geometry |
| Resumo: | 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. |
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