RT Book, Section T1 On the Log-Canonical Threshold for Germs of Plane Curves A1 Artal Bartolo, Enrique A1 Cassou-Noguès, Pierrette A1 Luengo Velasco, Ignacio A1 Melle Hernández, Alejandro A2 Brasselet, J.P. A2 Cisneros Molina, J.L. A2 Massey, D. A2 Seade, J. A2 Teissier, B. AB 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. PB American Mathematical Society SN 978-0-8218-4458-8 YR 2008 FD 2008 LK https://hdl.handle.net/20.500.14352/53144 UL https://hdl.handle.net/20.500.14352/53144 LA eng NO Conference: International Conference on Geometry and Topology of Singularities Location: Cuernavaca, MEXICO Date: JAN 08-26, 2007-2008 DS Docta Complutense RD 5 abr 2025