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math.AG2023
On a Theorem by Lin and Shinder through the Lens of Median Geometry
Anthony Genevois, Anne Lonjou, Christian Urech
Recently, Lin and Shinder constructed non-trivial homomorphisms from Cremona groups of rank >2 to \mathbb{Z} using motivic techniques. In this short note we propose an alternative…
math.AG2020
Actions of Cremona groups on CAT(0) cube complexes
Anne Lonjou, Christian Urech
For each d we construct CAT(0) cube complexes on which Cremona groups rank d act by isometries. From these actions we deduce new and old group theoretical and dynamical results abo…