A basis construction for Free subarrangements of Shi arrangements

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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 arrangement / Shi arrangement / Free arrangement / Bernoulli polynomial / subarrangement

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References

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