Logarithmic comparison theorem and D-modules: an overview

Details Logarithmic comparison theorem and D-modules: an overview Logarithmic comparison theorem and D-modules: an overview

2005-10-20

arxiv.org/abs/math/0510430v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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