Delphine POL
Title:
Logarithmic forms along higher codimensional subspaces
Abstract:
The purpose of this talk is to study a notion of logarithmic forms along reduced
complete intersections or Cohen-Macaulay subspaces
which is introduced by A. G. Aleksandrov and A. Tsikh as a generalization of the
logarithmic forms along reduced hypersurfaces developped by K. Saito.
A natural question which then arises is to generalize the notion of freeness to spaces
of higher codimension. In this talk, I will first recall the hypersurface case,
and we will then consider logarithmic forms,
logarithmic vector fields and residues along higher codimensional spaces.
In particular, we will give several characterizations of freeness which extend the hypersurface case.
In the last part of my talk, I will give examples which are related to subspace arrangements.