English

Log-canonical threshold for curves on a smooth surface

Algebraic Geometry 2007-07-06 v1

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.

Keywords

Cite

@article{arxiv.0707.0783,
  title  = {Log-canonical threshold for curves on a smooth surface},
  author = {Marian Aprodu and Daniel Naie},
  journal= {arXiv preprint arXiv:0707.0783},
  year   = {2007}
}
R2 v1 2026-06-21T08:55:27.307Z