Hyperbolicity and bifurcations in holomorphic families of polynomial skew products

Matthieu Astorg, Fabrizio Bianchi

We initiate a parametric study of holomorphic families of polynomial skew products, i.e., polynomial endomorphisms of ${\mathbb{C}}^2$ of the form $F(z,w)=(p(z),q(z,w))$ that exten…