Orlik's conjecture on the decomposition of the Milnor lattice

Let $f$ be an isolated quasihomogeneous singularity. Let $(M_1,\ldots,M_{l_\psi})$ be the standard covering associated with its weight-system data, and let $(H_{Mil},h_{Mil})$ denote its Milnor lattice with monodromy, while $(H_{M_j},h_{M_j})$ denotes the lattice with monodromy associated with $M_j$. Orlik's conjecture. There is an isomorphism

$$(H_{Mil},h_{Mil})\cong \bigoplus_{j=1}^{l_\psi}(H_{M_j},h_{M_j}).$$

The conjecture predicts a decomposition of the Milnor lattice and monodromy into pieces determined by the standard covering. The paper's Theorem 1.4 is independent of this conjecture but is useful in cases where the conjecture holds; the supplied text gives no resolution status.