A+ CATEGORY SCIENTIFIC UNIT

The effect of rational maps on polynomial maps

Volume 76 / 2001

Pierrette Cassou-Noguès Annales Polonici Mathematici 76 (2001), 21-31 MSC: 14D, 14E, 14H. DOI: 10.4064/ap76-1-3

Abstract

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.

Authors

  • Pierrette Cassou-NoguèsLaboratoire de Mathématiques Pures
    Université Bordeaux I
    350, Cours de la Libération
    33405 Talence Cedex, France
    e-mail

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