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math.CO2025
The Coboundary Quasi-Polynomials of Hyperplane Arrangements over Residually Finite Dedekind Domains
Masamichi Kuroda, Norihiro Nakashima, Shuhei Tsujie
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 coboun…
math.CO2025
Exponents of 2-multiarrangements of three lines over fields of positive characteristic
Shuhei Tsujie, Ryo Uchiumi
Wakamiko determined bases and the exponents for multiarrangements of three lines over a field of characteristic zero. In this paper, we study the exponents of multiarrangements of…
math.CO2025
Signatures of Type Root Systems
Michael Cuntz, Hung Manh Tran, Tan Nhat Tran +1
Given a type root system of rank , we introduce the concept of a signature for each subset of consisting of positive roots. For a subset represented by…