Morphisms between Cremona groups, and characterization of rational varieties

DOI10.1112/S0010437X13007835zbMath1331.14020OpenAlexW2326433155MaRDI QIDQ2874605

Serge Cantat

Publication date: 8 August 2014

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0010437x13007835

zbMATH Keywords

Cremona groupbirational mapsrational variety

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Group actions on varieties or schemes (quotients) (14L30) Complex Lie groups, group actions on complex spaces (32M05) Rationality questions in algebraic geometry (14E08)

Related Items (9)

On solvable subgroups of the Cremona group ⋮ On homomorphisms between Cremona groups ⋮ Jordan Groups and Automorphism Groups of Algebraic Varieties ⋮ Some properties of the group of birational maps generated by the automorphisms of \(\mathbb P^n_{\mathbb C}\) and the standard involution ⋮ On degenerations of plane Cremona transformations ⋮ Sofic profile and computability of Cremona groups ⋮ On cubic birational maps of $P^3_C$ ⋮ Three plots about the Cremona groups ⋮ Three chapters on Cremona groups

Cites Work

• Unnamed Item
• Topologies and structures of the Cremona groups
• Homomorphismes abstraits de groupes algébriques simples
• An upper bound for the topological entropy of a rational mapping
• \(p\)-elementary subgroups of the Cremona group
• On the nilpotent subgroups of the Cremona group
• The intermediate Jacobian of the cubic threefold
• Sur les automorphismes du groupe de Cremona
• Isomorphisms between diffeomorphism groups
• Maximal algebraic subgroups of the Cremona group of three variables—Imprimitive algebraic subgroups of exceptional type
• Transformation Groups and Natural Bundles
• Sur les sous-groupes algebriques primitifs du groupe de cremona a trois variables
• [https://portal.mardi4nfdi.de/wiki/Publication:4288848 Sur les groupes engendr�s par des diff�omorphismes proches de l'identit�]
• Holomorphic actions, Kummer examples, and Zimmer Program
• Sous-groupes algébriques de rang maximum du groupe de Cremona
• On Algebraic Groups of Transformations

This page was built for publication: Morphisms between Cremona groups, and characterization of rational varieties