Simple subgroups of the real space Cremona group
Algebraic Geometry
2025-11-17 v2
Abstract
We show that the alternating groups and are the only finite simple non-abelian subgroups of the group of birational selfmaps of the real three-dimensional projective space.
Cite
@article{arxiv.2511.10477,
title = {Simple subgroups of the real space Cremona group},
author = {Ivan Cheltsov and Antoine Pinardin and Yuri Prokhorov},
journal= {arXiv preprint arXiv:2511.10477},
year = {2025}
}
Comments
59 pages, Lemma 2.5.11 is generalized for pseudo-terminal singularities, few typos removed