Enriques diagrams and log-canonical thresholds of curves on smooth surfaces |
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| Authors: | Marian Aprodu Daniel Naie |
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| Institution: | 1.Institute of Mathematics “Simion Stoilow” of the Romanian Academy,Bucharest,Romania;2.?coala Normal? Superioar?,Bucharest,Romania;3.Université d’Angers,Angers,France |
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| 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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