On the log-canonical threshold for germs of plane curves

  1. Artal Bartolo, Enrique
  2. Cassou-Noguès, P. I.
  3. Luengo Velasco, Ignacio
  4. Melle Hernández, Alejandro
Journal:
Pre-publicaciones del Seminario Matemático " García de Galdeano "

Year of publication: 2007

Issue: 17

Pages: 1-12

Type: Working paper

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Abstract

In this article we show that for a given, reduced or non reduced, germ of a complex plane curve, there exists a local system of coordinates such that its log-canonical threshold at the singularity can be explicitly computed from the intersection of the boundary of its Newton polygon in such coordinates (degenerated or not) with the diagonal line.

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