Abstract
It is shown that, on a smooth surface, 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.
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Marian Aprodu was supported in part by the PCE Grant PNII 2228 (502/2009). He expresses his thanks to the LAREMA Angers for hospitality during the preparation of this work.
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Aprodu, M., Naie, D. Enriques diagrams and log-canonical thresholds of curves on smooth surfaces. Geom Dedicata 146, 43–66 (2010). https://doi.org/10.1007/s10711-009-9425-7
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DOI: https://doi.org/10.1007/s10711-009-9425-7