On G-birational rigidity of projective spaces

Ivan Cheltsov, Frederic Mangolte, Constantin Shramov

In this paper, we study finite subgroups $G\subset \mathrm{Aut}({\mathbb{P}}^n)$ such that ${\mathbb{P}}^n$ is $G$-birationally rigid. For each $n⩾3$, we prove that $\mathrm{Au…