On the Exponents of 2-Multiarrangements

Source abstract

In this paper we study the exponents of 2-multiarrangements. More precisely, we compose a basis for $D(\mathcal{A},k)$ in the case where $\mathcal{A}$ consists of three lines using $\mathbf{Q}$-polynomials ${X \choose \lambda}$. Here ${X \choose \lambda}$ is the generalized binomial coefficient of the partition $\lambda$.