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The effect of rational maps on polynomial maps

Pierrette Cassou-Noguès (2001)

Annales Polonici Mathematici

We describe the polynomials P ∈ ℂ[x,y] such that P ( 1 / v , A v + A v 2 n + . . . + A m - 1 v n ( m - 1 ) + v n m - k w ) [ v , w ] . As applications we give new examples of bad field generators and examples of families of polynomials with smooth and irreducible fibers.

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