Abstract:The characteristic polynomial plays an important role in study of hyperplane arrangements. There are several refinements of the characteristic polynomial. One of them is the coboundary polynomial defined by Crapo. Another refinement is the characteristic quasi-polynomial for an integral arrangement defined by Kamiya, Takemura, and Terao. Recently, the first and third authors introduced the characteristic quasi-polynomial for arrangement defined over a residually finite Dedekind domain. In this article, we introduce the common refinement of the coboundary polynomial and characteristic quasi-polynomial for an arrangement over a residually finite Dedekind domain.
From: Shuhei Tsujie [view email]
[v1]
Thu, 11 Dec 2025 17:28:05 UTC (19 KB)
[v2]
Thu, 2 Jul 2026 03:57:53 UTC (18 KB)
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