On the orbits of plane automorphisms and their stabilizers

Iván Pan, Alvaro Rittatore

Let $\mathbb{k}$ be a perfect field with algebraic closure $\overline{\mathbb{k}}$. If $H$ is a subgroup of plane automorphisms over $\mathbb{k}$ and $p\in {\overline{\mathbb{k}}}^2$ is a point, we descr…