%0 Journal Article %T On some $\cal D$-modules in dimension 2 %A F. J. Castro-Jim¨Śnez %A J. M. Ucha-Enriquez %J Mathematics %D 2000 %I arXiv %X We 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 Calder\'on-Mond-Narv\'aez-Castro. %U http://arxiv.org/abs/math/0010266v1