top
We describe the polynomials P ∈ ℂ[x,y] such that . As applications we give new examples of bad field generators and examples of families of polynomials with smooth and irreducible fibers.
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 -