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<p>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.</p>

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The Signed Varchenko Determinant for Complexes of Oriented Matroids

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月17日

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  • Winfried Hochstättler,
  • Sophia Keip,
  • Kolja Knauer

摘要

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.