The effect of rational maps on polynomial maps

Pierrette Cassou-Noguès. "The effect of rational maps on polynomial maps." Annales Polonici Mathematici 76.1-2 (2001): 21-31. <http://eudml.org/doc/280561>.

@article{PierretteCassou2001,
abstract = {We describe the polynomials P ∈ ℂ[x,y] such that $P(1/vⁿ,A₁vⁿ + A₂v^\{2n\} + ... + A_\{m-1\}v^\{n(m-1)\} + v^\{nm-k\}w) ∈ ℂ[v,w]$. As applications we give new examples of bad field generators and examples of families of polynomials with smooth and irreducible fibers.},
author = {Pierrette Cassou-Noguès},
journal = {Annales Polonici Mathematici},
keywords = {polynomial map; rational map; real Jacobian conjecture},
language = {eng},
number = {1-2},
pages = {21-31},
title = {The effect of rational maps on polynomial maps},
url = {http://eudml.org/doc/280561},
volume = {76},
year = {2001},
}

TY - JOUR
AU - Pierrette Cassou-Noguès
TI - The effect of rational maps on polynomial maps
JO - Annales Polonici Mathematici
PY - 2001
VL - 76
IS - 1-2
SP - 21
EP - 31
AB - We describe the polynomials P ∈ ℂ[x,y] such that $P(1/vⁿ,A₁vⁿ + A₂v^{2n} + ... + A_{m-1}v^{n(m-1)} + v^{nm-k}w) ∈ ℂ[v,w]$. As applications we give new examples of bad field generators and examples of families of polynomials with smooth and irreducible fibers.
LA - eng
KW - polynomial map; rational map; real Jacobian conjecture
UR - http://eudml.org/doc/280561
ER -