Axiom a Polynomial Skew Products of C2 and Their Postcritical Sets - Erratum

where p and q are polynomials. We consider skew products which are Axiom A and extend holomorphically to endomorphisms of P2 of degree d ≥ 2. In the article [DH], we studied orbits of critical points in a distinguished subset of C2, and we constructed new examples of Axiom A maps. We made an erroneous assumption about polynomial skew products, which holds for our main examples but fails in general. In this Correction, we describe the mistake and fix the proofs of our main results. We also indicate which statements in the original article do not hold without the extra assumption. We would like to thank Hiroki Sumi for bringing the mistake to our attention and carefully describing an example for which the assumption fails (see [Su, Remark 4.13]). We also thank Shizuo Nakane for his careful reading of the original article.