The signed Varchenko Determinant for Complexes of Oriented Matroids

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.

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Veröffentlicht in:arXiv.org 2023-07
Hauptverfasser: Hochstättler, Winfried, Keip, Sophia, Knauer, Kolja
Format: Artikel
Sprache:eng
Schlagworte:
Hyperplanes
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Zusammenfassung: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.
ISSN:2331-8422