Invertible polynomial mappings via Newton non-degeneracy

Ying Chen[1]; Luis Renato G. Dias[1]; Kiyoshi Takeuchi[2]; Mihai Tibăr[3]

  • [1] Universidade de São Paulo ICMC Av. Trabalhador São-Carlense, 400 CP Box 668, 13560-970 São Carlos São Paulo (Brazil)
  • [2] University of Tsukuba Institute of Mathematics 1-1-1, Tennodai, Tsukuba Ibaraki, 305-8571 (Japon)
  • [3] Université Lille 1 Mathématiques, Laboratoire Paul Painlevé 59655 Villeneuve d’Ascq (France)

Annales de l’institut Fourier (2014)

  • Volume: 64, Issue: 5, page 1807-1822
  • ISSN: 0373-0956

Abstract

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We prove a sufficient condition for the Jacobian problem in the setting of real, complex and mixed polynomial mappings. This follows from the study of the bifurcation locus of a mapping subject to a new Newton non-degeneracy condition.

How to cite

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Chen, Ying, et al. "Invertible polynomial mappings via Newton non-degeneracy." Annales de l’institut Fourier 64.5 (2014): 1807-1822. <http://eudml.org/doc/275622>.

@article{Chen2014,
abstract = {We prove a sufficient condition for the Jacobian problem in the setting of real, complex and mixed polynomial mappings. This follows from the study of the bifurcation locus of a mapping subject to a new Newton non-degeneracy condition.},
affiliation = {Universidade de São Paulo ICMC Av. Trabalhador São-Carlense, 400 CP Box 668, 13560-970 São Carlos São Paulo (Brazil); Universidade de São Paulo ICMC Av. Trabalhador São-Carlense, 400 CP Box 668, 13560-970 São Carlos São Paulo (Brazil); University of Tsukuba Institute of Mathematics 1-1-1, Tennodai, Tsukuba Ibaraki, 305-8571 (Japon); Université Lille 1 Mathématiques, Laboratoire Paul Painlevé 59655 Villeneuve d’Ascq (France)},
author = {Chen, Ying, Dias, Luis Renato G., Takeuchi, Kiyoshi, Tibăr, Mihai},
journal = {Annales de l’institut Fourier},
keywords = {real and complex polynomial mappings; bifurcation locus; Jacobian problem; Newton polyhedron; regularity at infinity},
language = {eng},
number = {5},
pages = {1807-1822},
publisher = {Association des Annales de l’institut Fourier},
title = {Invertible polynomial mappings via Newton non-degeneracy},
url = {http://eudml.org/doc/275622},
volume = {64},
year = {2014},
}

TY - JOUR
AU - Chen, Ying
AU - Dias, Luis Renato G.
AU - Takeuchi, Kiyoshi
AU - Tibăr, Mihai
TI - Invertible polynomial mappings via Newton non-degeneracy
JO - Annales de l’institut Fourier
PY - 2014
PB - Association des Annales de l’institut Fourier
VL - 64
IS - 5
SP - 1807
EP - 1822
AB - We prove a sufficient condition for the Jacobian problem in the setting of real, complex and mixed polynomial mappings. This follows from the study of the bifurcation locus of a mapping subject to a new Newton non-degeneracy condition.
LA - eng
KW - real and complex polynomial mappings; bifurcation locus; Jacobian problem; Newton polyhedron; regularity at infinity
UR - http://eudml.org/doc/275622
ER -

References

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