English

Logarithmic comparison theorem and D-modules: an overview

Algebraic Geometry 2007-05-23 v1

Abstract

Let D be a divisor in a complex analytic manifold X. A natural problem is to determine when the de Rham complex of meromorphic forms on X with poles along D is quasi-isomorphic to its subcomplex of logarithmic forms. In this mostly expository note, we recall the main results about this problem. In particular, we point out the relevance of the theory of D-modules to this topic.

Keywords

Cite

@article{arxiv.math/0510430,
  title  = {Logarithmic comparison theorem and D-modules: an overview},
  author = {Tristan Torrelli},
  journal= {arXiv preprint arXiv:math/0510430},
  year   = {2007}
}

Comments

15 pages, 1 figure. Submitted to the proceedings of the 5 singular weeks in Luminy (CIRM), february 2005