2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124285We recover the Newton diagram (modulo a natural ambiguity) from the link for any surface hypersurface singularity with non-degenerate Newton principal part whose link is a rational homology sphere. As a corollary, we show that the link determines the embedded topological type, the Milnor fibration, and the multiplicity of such a germ. This proves (even a stronger version of) Zariski's Conjecture about the multiplicity for such a singularity.40 pages, 2 figures. Accepted by Compositio Mathematica. Prepared for publicationAlgebraic Geometry14J17, 14Q10 (Primary) 52B20 (Secondary)text