Residue in intersection homology and Lp–cohomology

We consider a residue form for a singular hypersurface K with isolated singularities. Suppose there are neighbourhoods of the singular points with coordinates in which hypersurface is described by quasihomogeneous polynomials. We find a condition on the weights under which the norm of the Leray residue form is square integrable. For dim K ≥ 2 all simple singularities satisfy this condition. Then the residue form determines an element in intersection homology of K. We also obtain a residue class in the cohomology of K. Let M be a complex manifold of dimension n + 1 and let K be a smooth hyper-surface. Let T ub K be a tubular neighbourhood of K. Consider the diagram: