## Leray Residue Form and Intersection Homology

Andrzej Weber

25 pages

We consider a meromorphic form with a first order pole along a hypersurface \$K\$. We ask when the Leray residue form determines an element in intersection homology of \$K\$. We concentrate on \$K\$ with isolated singularities. We find that the mixed Hodge structure on vanishing cycles plays a decisive role. We give various conditions on the singularities of \$K\$ which guaranties that residues lie in intersection homology. For \$\dim K>1\$ all simple singularities satisfy these conditions.