Non-simplicity of the Cremona group over any field

DOI10.5802/aif.3056zbMath1365.14017arXiv1503.03731OpenAlexW2097330434MaRDI QIDQ507095

Anne Lonjou

Publication date: 3 February 2017

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.03731

zbMATH Keywords

hyperbolic spaceCremona groupWPD propertynormal subgroup

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Geometric group theory (20F65)

Related Items (13)

Mini-workshop: Nonpositively curved complexes. Abstracts from the mini-workshop held February 7--13, 2021 (online meeting) ⋮ Bijective Cremona transformations of the plane ⋮ Relations in the Cremona group over a perfect field ⋮ Rigid birational involutions of \(\mathbb{P}^3\) and cubic threefolds ⋮ Motivic invariants of birational maps ⋮ The abelianization of the real Cremona group ⋮ Quotients of groups of birational transformations of cubic del Pezzo fibrations ⋮ Signature morphisms from the Cremona group over a non-closed field ⋮ Combinatorics of the tame automorphism group ⋮ Geometry of word equations in simple algebraic groups over special fields ⋮ Introduction to a small cancellation theorem ⋮ Some effectivity questions for plane Cremona transformations in the context of symmetric key cryptography ⋮ Simple groups of birational transformations in dimension two

Cites Work

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• Normal subgroups in the Cremona group
• On the groups of birational transformations of surfaces
• A geometric proof of a theorem of Jung
• Bounded cohomology of subgroups of mapping class groups
• Dynamical degrees of birational transformations of projective surfaces
• Acylindrically hyperbolic groups
• Transformations birationnelles de petit degr\'e

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