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On the Log-Canonical Threshold for Germs of Plane Curves


Artal Bartolo, Enrique and Cassou-Noguès, Pierrette and Luengo Velasco, Ignacio and Melle Hernández, Alejandro (2008) On the Log-Canonical Threshold for Germs of Plane Curves. In Singularities I: Algebraic and Analytic Aspects. American Mathematical Society , Cuernavaca, México, pp. 1-14. ISBN 978-0-8218-4458-8

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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.

Item Type:Book Section
Additional Information:

Conference: International Conference on Geometry and Topology of Singularities Location: Cuernavaca, MEXICO Date: JAN 08-26, 2007-2008

Uncontrolled Keywords:Log-canonical threshold; Eisenbud-Neumman diagrams; topological zeta function
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:16530

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