English

On some $\cal D$-modules in dimension 2

Algebraic Geometry 2007-05-23 v1

Abstract

We prove a duality formula for two D{\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.

Cite

@article{arxiv.math/0010266,
  title  = {On some $\cal D$-modules in dimension 2},
  author = {F. J. Castro-Jiménez and J. M. Ucha-Enriquez},
  journal= {arXiv preprint arXiv:math/0010266},
  year   = {2007}
}