The real plane Cremona group is an amalgamated product

DOI10.5802/aif.3415zbMath1492.14021arXiv1705.07500OpenAlexW4247542359MaRDI QIDQ2115467

Susanna Zimmermann

Publication date: 17 March 2022

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

Full work available at URL: https://arxiv.org/abs/1705.07500

zbMATH Keywords

amalgamated productreal Cremona group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Birational automorphisms, Cremona group and generalizations (14E07) Real algebraic and real-analytic geometry (14P99)

Cites Work

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• Subgroups of odd order in the real plane Cremona group
• Normal subgroups in the Cremona group
• Infinite algebraic subgroups of the real Cremona group
• The abelianization of the real Cremona group
• Quotients of higher-dimensional Cremona groups
• Signature morphisms from the Cremona group over a non-closed field
• Birational diffeomorphisms of the real projective plane
• Cremona Groups of Real Surfaces
• Proof of a theorem on relations in the two-dimensional Cremona group
• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
• Two-Dimensional Cremona Groups Acting on Simplicial Complexes
• Factorization of birational maps of rational surfaces from the viewpoint of Mori theory
• The Sarkisov program
• Simple relations in the Cremona group

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