Equivariant pliability of the projective space

Abstract

We classify finite subgroups $G\subset {\mathrm{PGL}}_4(\mathbb{C})$ such that ${\mathbb{P}}^3$ is not $G$-birational to conic bundles and del Pezzo fibrations, and explicitly describe all $G$-Mori fibre spaces that are $G$-birational to ${\mathbb{P}}^3$ for these subgroups.

66 pages