On a theorem by Lin and Shinder through the lens of median geometry

DOI10.1007/S00029-024-01013-6MaRDI QIDQ6668638

Anthony Genevois, Christian Urech, Anne Lonjou

Publication date: 22 January 2025

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67)

Cites Work

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• Normal subgroups in the Cremona group
• The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
• Equivalent birational embeddings. II: Divisors
• Non-simplicity of the Cremona group over any field
• Simple groups of birational transformations in dimension two
• Fixed-point-free actions on cubings
• Graphs of some CAT(0) complexes
• Quotients of higher-dimensional Cremona groups
• Actions of Cremona groups on CAT\((0)\) cube complexes
• Signature morphisms from the Cremona group over a non-closed field
• Special cube complexes
• Cremona transformations and derived equivalences of K3 surfaces
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• Some effectivity questions for plane Cremona transformations in the context of symmetric key cryptography
• Special cube complexes revisited: a quasi-median generalization
• Generating the plane Cremona groups by involutions
• Motivic invariants of birational maps
• Cremona Groups Over Finite Fields, Neretin Groups, and Non-Positively Curved Cube Complexes
• Finitely generated subgroups of algebraic elements of plane Cremona groups are bounded

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