The Cremona group of the plane is compactly presented

DOI10.1112/jlms/jdv054zbMath1348.14031arXiv1408.4352OpenAlexW3099690183MaRDI QIDQ2793757

Susanna Zimmermann

Publication date: 17 March 2016

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.4352

zbMATH Keywords

Cremona grouppresentation by generators and relations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Birational automorphisms, Cremona group and generalizations (14E07) Group actions on varieties or schemes (quotients) (14L30)

Related Items (3)

Properties of the Cremona group endowed with the Euclidean topology ⋮ The abelianization of the real Cremona group ⋮ A new presentation of the plane Cremona group

Cites Work

• Topologies and structures of the Cremona groups
• On the groups of birational transformations of surfaces
• Algebraic subgroups of the Cremona group
• Kompakt definierbare topologische Gruppen. (Compactly definable topological groups)
• The Cremona group in two variables
• Proof of a theorem on relations in the two-dimensional Cremona group
• Simple relations in the Cremona group
• Geometry of the plane Cremona maps
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