English

The log-canonical threshold of a plane curve

Algebraic Geometry 2016-04-06 v2

Abstract

We give an explicit formula for the log-canonical threshold of a reduced germ of plane curve. The formula depends only on the first two maximal contact values of the branches and their intersection multiplicities. We also improve the two branches formula given in a paper by Kuwata in Amer. J. Math. 121.

Keywords

Cite

@article{arxiv.1211.6274,
  title  = {The log-canonical threshold of a plane curve},
  author = {C. Galindo and F. Hernando and F. Monserrat},
  journal= {arXiv preprint arXiv:1211.6274},
  year   = {2016}
}

Comments

Changed Remark 6. Added two references. Minor changes in the introduction