Explicit description of a basis for derivations of a Coxeter multiarrangement of type B2

Abstract

In this article, we consider the multiarrangements whose underlying arrangements are the Coxeter arrangement of type B2. For some special multiplicities, we give an explicit description of bases for the derivation modules. As an application, we also describe the lower derivations of bases for the derivation modules of some Coxeter multiarrangements of type A2, which are different from ones given by Wakamiko.

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