2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60218We prove a duality formula for two ${\cal D}$-modules arising from logarithmic derivations w.r.t. a plane curve. As an application we give a differential proof of a logarithmic comparison theorem of Calderón-Mond-Narváez-Castro.Algebraic Geometry14F10; 32C38On some $\cal D$-modules in dimension 2text