4 papers
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…
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…
Freeness of hyperplane arrangements associated with gain graphs
Daisuke Suyama, Michele Torielli, Shuhei Tsujie
Athanasiadis studied arrangements obtained by adding shifted hyperplanes to the braid arrangement. Similarly, Bailey studied arrangements obtained by adding tilted hyperplanes to t…
A type analog of Ish arrangement
Tan Nhat Tran, Shuhei Tsujie
The Shi arrangement due to Shi (1986) and the Ish arrangement due to Armstrong (2013) are deformations of the type Coxeter arrangement that share many common properties. Motiva…