The Signed Varchenko Determinant for Complexes of Oriented Matroids

被引：0
作者：
Hochstaettler, Winfried [1 ]
Keip, Sophia [1 ]
Knauer, Kolja [2 ]
机构：
[1] Fernuniv, Fak Math & Informat, D-58084 Hagen, Germany
[2] Univ Barcelona, Dept Matematiques & Informat, Barcelona, Spain
来源：
COMBINATORICA | 2025年 / 45卷 / 02期
关键词：
Varchenko matrix; Hyperplane arrangements; Complexes of oriented matroids;
D O I：
10.1007/s00493-025-00138-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
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页数：23
相关论文
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