Equivariant pliability of the projective space

preprint2022arXivOpen access

Abstract

We classify finite subgroups G⊂PGL4(C)G\subset\mathrm{PGL}_4(\mathbb{C}) such that P3\mathbb{P}^3 is not GG-birational to conic bundles and del Pezzo fibrations, and explicitly describe all GG-Mori fibre spaces that are GG-birational to P3\mathbb{P}^3 for these subgroups.

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