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 
@article{10_4064_ap76_1_3,
     author = {Pierrette Cassou-Nogu\`es},
     title = {The effect of rational maps on polynomial maps},
     journal = {Annales Polonici Mathematici},
     pages = {21--31},
     publisher = {mathdoc},
     volume = {76},
     number = {1-2},
     year = {2001},
     doi = {10.4064/ap76-1-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap76-1-3/}
}
TY  - JOUR
AU  - Pierrette Cassou-Noguès
TI  - The effect of rational maps on polynomial maps
JO  - Annales Polonici Mathematici
PY  - 2001
SP  - 21
EP  - 31
VL  - 76
IS  - 1-2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap76-1-3/
DO  - 10.4064/ap76-1-3
LA  - en
ID  - 10_4064_ap76_1_3
ER  - 
%0 Journal Article
%A Pierrette Cassou-Noguès
%T The effect of rational maps on polynomial maps
%J Annales Polonici Mathematici
%D 2001
%P 21-31
%V 76
%N 1-2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap76-1-3/
%R 10.4064/ap76-1-3
%G en
%F 10_4064_ap76_1_3
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

Cité par Sources :