%0 Journal Article
%A Bustinduy, Álvaro
%A Giraldo Suárez, Luis
%A Muciño Raymundo, Jesús
%T Vector fields from locally invertible polynomial maps in Cn
%D 2015
%@ 0010-1354
%U https://hdl.handle.net/20.500.14352/34840
%X Let (F-1, . . . , F-n) : C-n -> C-n be a locally invertible polynomial map. We consider the canonical pull-back vector fields under this map, denoted by partial derivative/partial derivative F-1, . . . , partial derivative/partial derivative F-n. Our main result is the following: if n - 1 of the vector fields partial derivative/partial derivative F-j have complete holomorphic flows along the typical fibers of the submersion (F-1,. . . , Fj-1; F-j+1,F- . . . , F-n), then the inverse map exists. Several equivalent versions of this main hypothesis are given.
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