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.
Publié le : 2007-01-14
Classification:
plane curve germ,
Newton diagram,
equivalence of germs,
strong triangle inequality,
quasi-branch,
32S55,
14H20
@article{1180135501,
author = {GARC\'IA BARROSO, Evelia Rosa and LENARCIK, Andrzej and P\L OSKI, Arkadiusz},
title = {Newton diagrams and equivalence of plane curve germs},
journal = {J. Math. Soc. Japan},
volume = {59},
number = {1},
year = {2007},
pages = { 81-96},
language = {en},
url = {http://dml.mathdoc.fr/item/1180135501}
}
GARCÍA BARROSO, Evelia Rosa; LENARCIK, Andrzej; PŁOSKI, Arkadiusz. Newton diagrams and equivalence of plane curve germs. J. Math. Soc. Japan, Tome 59 (2007) no. 1, pp. 81-96. http://gdmltest.u-ga.fr/item/1180135501/