有向拟阵复合体的有符号Varchenko行列式

IF 1 2区数学 Q1 MATHEMATICS

Combinatorica Pub Date : 2025-03-17 DOI:10.1007/s00493-025-00138-2

Winfried Hochstättler, Sophia Keip, Kolja Knauer

引用次数: 0

摘要

将超平面排列的（有符号）Varchenko矩阵推广到有向拟阵的复合体上，并证明了它的行列式具有很好的分解性。这扩展了先前关于超平面排列和取向拟阵的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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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来源期刊

Combinatorica 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： COMBINATORICA publishes research papers in English in a variety of areas of combinatorics and the theory of computing, with particular emphasis on general techniques and unifying principles. Typical but not exclusive topics covered by COMBINATORICA are - Combinatorial structures (graphs, hypergraphs, matroids, designs, permutation groups). - Combinatorial optimization. - Combinatorial aspects of geometry and number theory. - Algorithms in combinatorics and related fields. - Computational complexity theory. - Randomization and explicit construction in combinatorics and algorithms.