Characterization of jacobian Newton polygons of plane branches and new criteria of irreducibility

Evelia R. García Barroso[1]; Janusz Gwoździewicz[2]

  • [1] Universidad de La Laguna Facultad de Matemáticas Departamento de Matemática Fundamental 38271 La Laguna, Tenerife (Espagne)
  • [2] Technical University Department of Mathematics 25-314 Kielce (Pologne)

Annales de l’institut Fourier (2010)

  • Volume: 60, Issue: 2, page 683-709
  • ISSN: 0373-0956

Abstract

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In this paper we characterize, in two different ways, the Newton polygons which are jacobian Newton polygons of a plane branch. These characterizations give in particular combinatorial criteria of irreducibility for complex series in two variables and necessary conditions which a complex curve has to satisfy in order to be the discriminant of a complex plane branch.

How to cite

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Barroso, Evelia R. García, and Gwoździewicz, Janusz. "Characterization of jacobian Newton polygons of plane branches and new criteria of irreducibility." Annales de l’institut Fourier 60.2 (2010): 683-709. <http://eudml.org/doc/116285>.

@article{Barroso2010,
abstract = {In this paper we characterize, in two different ways, the Newton polygons which are jacobian Newton polygons of a plane branch. These characterizations give in particular combinatorial criteria of irreducibility for complex series in two variables and necessary conditions which a complex curve has to satisfy in order to be the discriminant of a complex plane branch.},
affiliation = {Universidad de La Laguna Facultad de Matemáticas Departamento de Matemática Fundamental 38271 La Laguna, Tenerife (Espagne); Technical University Department of Mathematics 25-314 Kielce (Pologne)},
author = {Barroso, Evelia R. García, Gwoździewicz, Janusz},
journal = {Annales de l’institut Fourier},
keywords = {Irreducible plane curve; jacobian Newton polygon; polar invariant; approximate root; irreducible plane curve; Jacobian Newton polygon},
language = {eng},
number = {2},
pages = {683-709},
publisher = {Association des Annales de l’institut Fourier},
title = {Characterization of jacobian Newton polygons of plane branches and new criteria of irreducibility},
url = {http://eudml.org/doc/116285},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Barroso, Evelia R. García
AU - Gwoździewicz, Janusz
TI - Characterization of jacobian Newton polygons of plane branches and new criteria of irreducibility
JO - Annales de l’institut Fourier
PY - 2010
PB - Association des Annales de l’institut Fourier
VL - 60
IS - 2
SP - 683
EP - 709
AB - In this paper we characterize, in two different ways, the Newton polygons which are jacobian Newton polygons of a plane branch. These characterizations give in particular combinatorial criteria of irreducibility for complex series in two variables and necessary conditions which a complex curve has to satisfy in order to be the discriminant of a complex plane branch.
LA - eng
KW - Irreducible plane curve; jacobian Newton polygon; polar invariant; approximate root; irreducible plane curve; Jacobian Newton polygon
UR - http://eudml.org/doc/116285
ER -

References

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