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On the D-module of an isolated singularity

SEMINARS: HARVARD-MIT ALGEBRAIC GEOMETRY

When: May 9, 2023
3:00 pm - 4:00 pm
Speaker: Thomas Bitoun - University of Calgary

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 de Rham cohomology of the complement of \{f=0\}. This work builds on Vilonen’s characterization of the intersection homology D-module.