Equivariant pliability of the projective space

Abstract

AbstractWe classify finite subgroups $$G\subset {\textrm{PGL}}_4({\mathbb {C}})$$ G ⊂ PGL 4 ( C ) such that $${\mathbb {P}}^3$$ 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 $${\mathbb {P}}^3$$ P 3 for these subgroups.