关于Varchenko矩阵的Smith范式

Ars Math. Contemp. Pub Date : 2020-11-21 DOI:10.26493/1855-3974.2262.9B8

Wuxing Cai, Yuehui Chen, Lili Mu

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引用次数: 1

摘要

设A是A同构于n的超平面排列。设vq为排列A的q -Varchenko矩阵，其所有超平面参数都等于q。在本文中，我们考虑了与超平面排列相关的q -Varchenko矩阵的三种有趣的情况。我们证明了它们在n [q]上具有史密斯范式。

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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On the Smith normal form of Varchenko matrix

Let A be a hyperplane arrangement in A isomorphic to ℝ n . Let V q be the q -Varchenko matrix for the arrangement A with all hyperplane parameters equal to q . In this paper, we consider three interesting cases of q -Varchenko matrices associated to hyperplane arrangements. We show that they have a Smith normal form over ℤ[ q ] .

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来源期刊

Ars Math. Contemp.

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