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Research Article | Open Access

A basis construction for Free subarrangements of Shi arrangements

Ruimei Gao, Meihui Jiang( )
School of Mathematics and Statistics, Changchun University of Science and Technology, Changchun 130022, China
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Abstract

D. Suyama and H. Terao established an exact basis construction for the derivation modules of the cone over the Shi arrangements utilizing Bernoulli polynomials. In this paper, building on the above basis, we introduce an explicit basis construction for a class of Free arrangements that lie between the cone of Linial arrangements and Shi arrangements.

Keywords

hyperplane arrangementShi arrangementFree arrangementBernoulli polynomialsubarrangement

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Electronic Research Archive
Volume 33 Issue 10,
October 2025
Pages 6058-6069
DOI: 10.3934/era.2025269

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Cite this article:
Gao R, Jiang M. A basis construction for Free subarrangements of Shi arrangements. Electronic Research Archive, 2025, 33(10): 6058-6069. https://doi.org/10.3934/era.2025269

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Received: 06 March 2025
Revised: 04 July 2025
Accepted: 09 October 2025
Published: 16 October 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)