Geodesic
The set of points at which a polynomial map is not proper
Annales Polonici Mathematici, Tome 58 (1993) no. 3, pp. 259-266

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We describe the set of points over which a dominant polynomial map $f=(f_1,...,f_n) : ℂ^n → ℂ^n$ is not a local analytic covering. We show that this set is either empty or it is a uniruled hypersurface of degree bounded by $(∏_{i=1}^n deg f_i - μ (f)) / (min_{i=1,...,n} deg f_i)$.
DOI : 10.4064/ap-58-3-259-266
Keywords: polynomial mappings, proper mappings, dominant mappings, analytic covering

Zbigniew Jelonek 1

1 
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Zbigniew Jelonek. The set of points at which a polynomial map is not proper. Annales Polonici Mathematici, Tome 58 (1993) no. 3, pp. 259-266. doi: 10.4064/ap-58-3-259-266

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