Open Access
January, 2007 Newton diagrams and equivalence of plane curve germs
Evelia Rosa GARCÍA BARROSO, Andrzej LENARCIK, Arkadiusz PŁOSKI
J. Math. Soc. Japan 59(1): 81-96 (January, 2007). DOI: 10.2969/jmsj/1180135501

Abstract

We introduce an equivalence of plane curve germs which is weaker than Zariski's equisingularity and prove that the set of all Newton diagrams of a germ is an invariant of this equivalence. Then we show how to construct all Newton diagrams of a plane many-branched singularity starting with some invariants of branches and their orders of contact.

Citation

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Evelia Rosa GARCÍA BARROSO. Andrzej LENARCIK. Arkadiusz PŁOSKI. "Newton diagrams and equivalence of plane curve germs." J. Math. Soc. Japan 59 (1) 81 - 96, January, 2007. https://doi.org/10.2969/jmsj/1180135501

Information

Published: January, 2007
First available in Project Euclid: 25 May 2007

zbMATH: 1111.32029
MathSciNet: MR2302663
Digital Object Identifier: 10.2969/jmsj/1180135501

Subjects:
Primary: 32S55
Secondary: 14H20

Keywords: equivalence of germs , Newton diagram , plane curve germ , quasi-branch , strong triangle inequality

Rights: Copyright © 2007 Mathematical Society of Japan

Vol.59 • No. 1 • January, 2007
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