vix.ing · top · new · best · stats · spec

Logarithmic comparison theorem and D-modules: an overview

2005/10/20 by Torrelli, Tristan
#14F10 #14F40 #32C38 #32S25 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0510430

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.

Related