2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64390We find explicit free resolutions for the $\scr D$-modules ${\scr D} f^s$ and ${\scr D}[s] f^s/{\scr D}[s] f^{s+1}$, where $f$ is a reduced equation of a locally quasi-homogeneous free divisor. These results are based on the fact that every locally quasi-homogeneous free divisor is Koszul free, which is also proved in this paperTo appear in Compositio Mathematica, 20 pagesAlgebraic Geometry14F40 (Primary) 32S20, 32S40 (Secondary)text