A classification of degree $2$ semi-stable rational maps ${\mathbb{P}}^2\to {\mathbb{P}}^2$ with large finite dynamical automorphism group

Michelle Manes, Joseph H. Silverman

Let $K$ be an algebraically closed field of characteristic $0$. In this paper we classify the ${\text{PGL}}_3(K)$-conjugacy classes of semi-stable dominant degree $2$ rational maps $…