  Suppose $M^{n+1}$ is a complex manifold and K is a hypersurface with isolated
singularities. Let $\omega$ be a holomorphic form on $M\setminus K$ with the
first order pole on K. The Leray residue of such form gives an element in the
n-th homology of K which is the Alexander dual to $[\omega ]\in
H^{n+1}(M\setminus K)$. It always lifts to the intersection homology if 0 does
not belong to the spectra of a singular points. We assume that singularities
are described by the quasihomogeneous equations in certain coordinate systems.
Suppose that oscillation indicators of the singular points are greater then -1.
Then we find a metric on $K\setminus\Sigma$ in which the residue form is square
integrable (and even L_p-integrable for p>2). Applying the isomorphism of
L_p-cohomology and intersection homology we obtain a particular lift of the
residue class in homology to intersection homology.

Algebraic Geometry;Algebraic Geometry