Algebra and Geometry Seminar

Let Z be the germ of a complex hypersurface isolated singularity of equation f. We consider the family of analytic D-modules generated by the powers of 1/f and relate it to the pole order filtration on the top cohomology of the complement of \{f=0\}. This work builds on Vilonen's characterization of the intersection homology D-module. Some other keywords are mixed Hodge modules, logarithmic de Rham complex and residues.