The signed Varchenko Determinant for Complexes of Oriented Matroids
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910786270527488 |
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| author | Hochstättler, Winfried Keip, Sophia Knauer, Kolja |
| author_facet | Hochstättler, Winfried Keip, Sophia Knauer, Kolja |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_13986 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The signed Varchenko Determinant for Complexes of Oriented Matroids Hochstättler, Winfried Keip, Sophia Knauer, Kolja Combinatorics Algebraic Geometry 52C40, 52C35, 05B35, 05E14 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. |
| title | The signed Varchenko Determinant for Complexes of Oriented Matroids |
| topic | Combinatorics Algebraic Geometry 52C40, 52C35, 05B35, 05E14 |
| url | https://arxiv.org/abs/2211.13986 |