Invertible polynomial mappings via Newton non-degeneracy

Ying Chen; Luis Renato G. Dias; Kiyoshi Takeuchi; Mihai Tibər

doi:10.5802/aif.2897

Invertible polynomial mappings via Newton non-degeneracy

Ying Chen, Luis Renato G. Dias, Kiyoshi Takeuchi, Mihai Tibər

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1807-1822
Number of pages	16
Journal	Annales de l'Institut Fourier
Volume	64
Issue number	5
DOIs	https://doi.org/10.5802/aif.2897
Publication status	Published - 2014

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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.",

author = "Ying Chen and Dias, {Luis Renato G.} and Kiyoshi Takeuchi and Mihai Tibər",

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AU - Dias, Luis Renato G.

AU - Takeuchi, Kiyoshi

AU - Tibər, Mihai

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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.

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Invertible polynomial mappings via Newton non-degeneracy

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