The abelianization of the real Cremona group

DOI10.1215/00127094-2017-0028zbMath1402.14015arXiv1510.08705OpenAlexW3100255602MaRDI QIDQ1700519

Susanna Zimmermann

Publication date: 6 March 2018

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.08705

zbMATH Keywords

birational geometryCremona groupreal algebraic geometry

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Real algebraic and real-analytic geometry (14P99)

Related Items (5)

Infinite algebraic subgroups of the real Cremona group ⋮ Relations in the Cremona group over a perfect field ⋮ Quotients of groups of birational transformations of cubic del Pezzo fibrations ⋮ Geometry of word equations in simple algebraic groups over special fields ⋮ The real plane Cremona group is an amalgamated product

Cites Work

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• Topologies and structures of the Cremona groups
• Non-simplicity of the Cremona group over any field
• Introduction to quadratic forms
• Birational diffeomorphisms of the real projective plane
• Cremona transformations and diffeomorphisms of surfaces
• \(p\)-elementary subgroups of the Cremona group
• The Cremona group of the plane is compactly presented
• Classical Algebraic Geometry
• Cremona Groups of Real Surfaces
• Proof of a theorem on relations in the two-dimensional Cremona group
• [https://portal.mardi4nfdi.de/wiki/Publication:4248035 Une remarque sur la g�n�ration du groupe de Cremona]
• Topological simplicity of the Cremona groups
• Cremona Groups and the Icosahedron
• Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces
• Simple relations in the Cremona group
• Geometry of the plane Cremona maps

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