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The log-canonical threshold of a plane curve

Published online by Cambridge University Press:  11 February 2016

CARLOS GALINDO ,
FERNANDO HERNANDO  and
FRANCISCO MONSERRAT
CARLOS GALINDO
Affiliation:
Instituto Universitario de Matemáticas y Aplicaciones de Castellón and Departamento de Matemáticas, Universitat Jaume I, Campus de Riu Sec. 12071 Castelló, Spain. e-mail: galindo@mat.uji.es; carrillf@mat.uji.es
FERNANDO HERNANDO
Affiliation:
Instituto Universitario de Matemáticas y Aplicaciones de Castellón and Departamento de Matemáticas, Universitat Jaume I, Campus de Riu Sec. 12071 Castelló, Spain. e-mail: galindo@mat.uji.es; carrillf@mat.uji.es
FRANCISCO MONSERRAT
Affiliation:
Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain. e-mail: framonde@mat.upv.es
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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 [27].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 160 , Issue 3 , May 2016 , pp. 513 - 535
Copyright
Copyright © Cambridge Philosophical Society 2016 

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