Newton diagrams and equivalence of plane curve germs

Evelia Rosa García Barroso; Andrzej Lenarcik; Arkadiusz Ploski

doi:10.2969/jmsj/1180135501

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Newton diagrams and equivalence of plane curve germs

Evelia Rosa García Barroso, Andrzej Lenarcik, Arkadiusz Ploski

著者情報

キーワード: plane curve germ, Newton diagram, equivalence of germs, strong triangle inequality, quasi-branch

ジャーナルフリー

2007 年 59 巻 1 号 p. 81-96

DOI https://doi.org/10.2969/jmsj/1180135501

詳細

抄録

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.