The purpose of this paper is to give a short and elementary proof of the invariance and the inversion of the characteristic pairs of an irreducible plane algebroid curve, using the concept of saturation given by Campillo in [2]. The inversion and invariance of these pairs is proved by Abhyankar in [1] using direct computations.
@article{urn:eudml:doc:38205,
title = {An elementary proof of the invariance and inversion of characteristic pairs.},
journal = {Extracta Mathematicae},
volume = {1},
year = {1986},
pages = {6-8},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38205}
}
Nuñez, C. Ana. An elementary proof of the invariance and inversion of characteristic pairs.. Extracta Mathematicae, Tome 1 (1986) pp. 6-8. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38205/