Survey on Cremona groups from a median geometric point of view
Group Theory
2025-10-14 v1 Algebraic Geometry
Abstract
This expository article builds on lecture notes from a minicourse entitled "Cremona groups and CAT(0) cube complexes" and given by the author as part of the 2023 Riverside Workshop on Geometric Group Theory. It presents recent constructions of actions of Cremona groups on median graphs aimed at both geometric group theorists and algebraic geometers.
Cite
@article{arxiv.2510.10838,
title = {Survey on Cremona groups from a median geometric point of view},
author = {Anne Lonjou},
journal= {arXiv preprint arXiv:2510.10838},
year = {2025}
}
Comments
55 pages, 15 figures. This will appear in Proceedings of the Riverside Geometric Group Theory Workshop 2023, edited by Durham and Koberda