5 problems

A linear free divisor is a divisor defined by a homogeneous polynomial whose module of logarithmic vector fields is locally free and generated by linear vector fields. A divisor is…

Let $D$ be a linear free divisor, and let $b_D(s)$ denote its $b$-function. Granger–Schulze conjecture. The roots of $b_D(s)$ are symmetric about $-1$. This is proved in the paper…

Let $D\subset\mathbb{C}^n$ be a linear free divisor, meaning that it has a global basis of logarithmic derivations whose coefficients are linear. Granger–Mond–Nieto–Schulze conject…

Let $D\subset V=\mathbb{C}^n$ be a reductive linear free divisor, with defining equation $h$. Its logarithmic Brieskorn lattice is $(G_0(h),\nabla)$, and its spectrum at $\theta=0$…

Let $f$ be the linear free divisor considered in the paper, let $\mathbf{G}$ and $\overline{\mathbf{G}}$ be the corresponding Gauss–Manin systems, and let $G$ and $\overline{G}$ de…