Finitely generated subgroups of algebraic elements of plane Cremona groups are bounded

DOI10.5802/JEP.271MaRDI QIDQ6621560

Anne Lonjou, Christian Urech, Piotr Przytycki

Publication date: 18 October 2024

Published in: Journal de l’École polytechnique — Mathématiques (Search for Journal in Brave)

zbMATH Keywords

Cremona groupalgebraic elementsdecent group actions

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Geometric group theory (20F65) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

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• Topologies and structures of the Cremona groups
• On the groups of birational transformations of surfaces
• Remarks on the degree growth of birational transformations
• On the joint spectral radius for isometries of non-positively curved spaces and uniform growth
• Actions of Cremona groups on CAT\((0)\) cube complexes
• Torsion groups do not act on 2-dimensional \(\text{CAT}(0)\) complexes
• Relations in the Cremona group over a perfect field
• Dynamical degrees of birational transformations of projective surfaces
• Rational surfaces with a large group of automorphisms
• Geometric Group Theory
• Degrees of iterates of rational maps on normal projective varieties
• The Cremona group
• Parabolic automorphisms of projective surfaces (after M. H. Gizatullin)
• Cremona Groups Over Finite Fields, Neretin Groups, and Non-Positively Curved Cube Complexes

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