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arXiv · 0707.0783

Log-canonical threshold for curves on a smooth surface

Marian Aprodu·Daniel Naie
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Abstract

It 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.

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Marian Aprodu, Daniel Naie. 2007-07-05. Log-canonical threshold for curves on a smooth surface. https://arxiv.org/abs/0707.0783

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