INVERTIBLE POLYNOMIAL MAPPINGS VIA NEWTON NON-DEGENERACY

Chen, Ying; Dias, Luis Renato G.; Takeuchi, Kiyoshi; Tibar, Mihai

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

INVERTIBLE POLYNOMIAL MAPPINGS VIA NEWTON NON-DEGENERACY

Author(s):	Chen, Ying ^[1] ; Dias, Luis Renato G. ^[2] ; Takeuchi, Kiyoshi ^[3] ; Tibar, Mihai ^[4] Total Authors: 4
Affiliation:	^[1] Univ Sao Paulo. ICMC ^[2] Univ Sao Paulo. ICMC ^[3] Univ Tsukuba. Inst Math ^[4] Univ Lille 1. Lab Paul Painleve Total Affiliations: 4
Document type:	Journal article
Source:	ANNALES DE L INSTITUT FOURIER; v. 64, n. 5, p. 1807-1822, 2014.
Web of Science Citations:	0
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. (AU)

FAPESP's process:	08/10563-4 - Global Singular Fibrations of Polynomial Mappings
Grantee:	Luis Renato Gonçalves Dias
Support Opportunities:	Scholarships in Brazil - Doctorate

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