2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133023It is shown that the log-canonical threshold of a curve with an isolated singularity is computed by the term ideal of the curve in a suitable system of local parameters at the singularity. The proof uses the Enriques diagram of the singularity and shows that the log-canonical threshold depends only on a non-degenerate path of that diagram.Algebraic GeometryLog-canonical threshold for curves on a smooth surfacetext