Continuous automorphisms of Cremona groups

DOI10.1142/S0129167X21500191zbMath1474.14025arXiv1909.11050MaRDI QIDQ4990623

Susanna Zimmermann, Christian Urech

Publication date: 31 May 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.11050

zbMATH Keywords

continuous mapsautomorphisms of groupsCremona groups

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Automorphism groups of groups (20F28)

Related Items (2)

Properties of the Cremona group endowed with the Euclidean topology ⋮ Rigid birational involutions of \(\mathbb{P}^3\) and cubic threefolds

Cites Work

• Topologies and structures of the Cremona groups
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• The Cremona group is Hopfian
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• Schémas en groupes. II: Groupes de type multiplicatif, et structure des schémas en groupes généraux. Exposés VIII à XVIII. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3) dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
• Some Basic Theorems on Algebraic Groups
• Sur les automorphismes du groupe de Cremona
• Isomorphisms between diffeomorphism groups
• On homomorphisms between Cremona groups
• On the augmentation topology of automorphism groups of affine spaces and algebras
• Topological simplicity of the Cremona groups
• Three plots about the Cremona groups
• Sous-groupes algébriques de rang maximum du groupe de Cremona
• Variations sur un thème de H. Poincaré
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