Logarithmic comparison theorem and D-modules: an overview
Abstract
Description
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.
15 pages, 1 figure. Submitted to the proceedings of the 5 singular weeks in Luminy (CIRM), february 2005
15 pages, 1 figure. Submitted to the proceedings of the 5 singular weeks in Luminy (CIRM), february 2005