Log-canonical threshold for curves on a smooth surface

Details Log-canonical threshold for curves on a smooth surface Log-canonical threshold for curves on a smooth surface

2007-07-05

arxiv.org/abs/0707.0783v1

Mathematics

Algebraic Geometry

Scientific paper

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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