Jean Venato-Santos

activity

20182021

most citedOn global invertibility of semi-algebraic local diffeomorphisms

3 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math.GT2021★ 1 cited

Surjectivity of linear operators and semialgebraic global diffeomorphisms

Francisco Braun, Luis Renato Gonçalves Dias, Jean Venato Santos

We prove that a $C^{\infty}$ semialgebraic local diffeomorphism of $R^{n}$ with non-properness set having codimension greater than or equal to $2$ is a global diffeomorphism…

math.GT2020★ 3 cited

On global invertibility of semi-algebraic local diffeomorphisms

Francisco Braun, Luis Renato Gonçalves Dias, Jean Venato-Santos

In this partly expository paper we discuss conditions for the global injectivity of $C^{2}$ semi-algebraic local diffeomorphisms $f : R^{n} \to R^{n}$ . In case $n > 2$ , w…

math.AG2018

On Topological Approaches to the Jacobian Conjecture in $C^{n}$

Francisco Braun, Luis Renato G. Dias, Jean Venato-Santos

We obtain a structure theorem for the nonproperness set $S_{f}$ of a nonsingular polynomial mapping $f : C^{n} \to C^{n}$ . Jelonek's results on $S_{f}$ and our result show…

Surjectivity of linear operators and semialgebraic global diffeomorphisms

On global invertibility of semi-algebraic local diffeomorphisms

On Topological Approaches to the Jacobian Conjecture in Cn

On Topological Approaches to the Jacobian Conjecture in $C^{n}$