Shota Maehara

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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 arrangemen…

math.CO2025

Exponents of $2$ -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 $2$ -dimensional multiarrangements. Using such…

math.CO2025

Extendability of the $B_{2}$ -arrangement

Torsten Hoge, Shota Maehara, Sven Wiesner

Let $(A, m)$ be a free multiarrangement, and let $E$ be an extension of $(A, m)$ . It is well known that if $A$ is the Coxeter arrangement of t…

math.CO2023

Explicit description of a basis for derivations of a Coxeter multiarrangement of type $B_{2}$

Shota Maehara, Yasuhide Numata

In this article, we consider the multiarrangements whose underlying arrangements are the Coxeter arrangement of type $B_{2}$ . For some special multiplicities, we give an explicit des…

On Universal derivations for multiarrangements

Exponents of 2-multiarrangements and Wakefield--Yuzvinsky matrices

Extendability of the B2​-arrangement

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

Exponents of $2$ -multiarrangements and Wakefield--Yuzvinsky matrices

Extendability of the $B_{2}$ -arrangement

Explicit description of a basis for derivations of a Coxeter multiarrangement of type $B_{2}$