Geodesic
The effect of rational maps on polynomial maps
Pierrette Cassou-Noguès1
1 Laboratoire de Mathématiques Pures Université Bordeaux I 350, Cours de la Libération 33405 Talence Cedex, France
Annales Polonici Mathematici, Tome 76 (2001) no. 1-2, pp. 21-31.

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

We describe the polynomials $P\in {\mathbb C}[x,y]$ such that $P(1/v^n, A_1v^n + A_2v^{2n} + \dots + A_{m-1}v^{n(m-1)} + v^{nm-k}w) \in {\mathbb C} [v,w]$. As applications we give new examples of bad field generators and examples of families of polynomials with smooth and irreducible fibers.
DOI : 10.4064/ap76-1-3
Keywords: describe polynomials mathbb dots m m nm k mathbb applications examples bad field generators examples families polynomials smooth irreducible fibers

Pierrette Cassou-Noguès 1

1 Laboratoire de Mathématiques Pures Université Bordeaux I 350, Cours de la Libération 33405 Talence Cedex, France 
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Pierrette Cassou-Noguès. The effect of rational maps on polynomial maps. Annales Polonici Mathematici, Tome 76 (2001) no. 1-2, pp. 21-31. doi : 10.4064/ap76-1-3. http://geodesic.mathdoc.fr/articles/10.4064/ap76-1-3/

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