4 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 $D\subset\mathbb{C}^n$ 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 $X$ be a complex analytic manifold of dimension $n$, and let $D\subset X$ be a free divisor. Say that $D$ satisfies LCT when the inclusion of logarithmic into meromorphic de Rh…

Let $X$ be a complex analytic manifold, let $D$ be a divisor on $X$, and write $\Omega_X^\bullet(\log D)$ for the logarithmic de Rham complex and $\Omega_X^\bullet(*D)$ for the mer…