English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Let $K$ be an algebraically closed field of characteristic $0$. In this paperwe classify the $\text{PGL}_3(K)$-conjugacy classes of semi-stable dominantdegree $2$ rational maps $f:{\mathbb P}^2_K\dashrightarrow{\mathbb P}^2_K$whose automorphism group $$\text{Aut}(f):=\{\phi\in\text{PGL}_3(K):\phi^{-1}\circ f\circ\phi=f\}$$ is finite and of order at least $3$. Inparticular, we prove that $\#\text{Aut}(f)\le24$ in general, that$\#\text{Aut}(f)\le21$ for morphisms, and that $\#\text{Aut}(f)\le6$ for allbut finitely many conjugacy classes of $f$.

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