39 citations · 97 across the 9 of their papers we have counts for
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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 semi-algebraic local diffeomorphisms . In case , w…
math.AG2020★ 4 cited
Atypical points at infinity and algorithmic detection of the bifurcation locus of real polynomials
Luis Renato G. Dias, Cezar Joiţa, Mihai Tibăr
We show that the variation of the topology at infinity of a two-variable polynomial function is localisable at a finite number of "atypical points" at infinity. We construct an eff…