3 papers
math.CO2026
Exponents of -multiarrangements and Wakefield--Yuzvinsky matrices
Shota Maehara
In the theory of hyperplane arrangements, M. Wakefield and S. Yuzvinsky utilized a square matrix in their research on the exponents of -dimensional multiarrangements. Using such…
math.CO2025
On Universal derivations for multiarrangements
Takuro Abe, Shota Maehara, Gerhard Roehrle +1
The study of universal derivations for arbitrary multiarrangements and multiplicity functions was initiated by Abe, Röhrle, Stump, and Yoshinaga in 2024 which focused on arrangeme…
math.CO2025
Extendability of the -arrangement
Torsten Hoge, Shota Maehara, Sven Wiesner
Let be a free multiarrangement, and let be an extension of . It is well known that if is the Coxeter arrangement of t…