Sur les sous-groupes nilpotents du groupe de Cremona

2006/06/29 by Julie Déserti, Deserti, Julie
Mathematics · Social Sciences · #Dynamical Systems (math.DS) #FOS: Mathematics #French Language Learning Methods #Group Theory (math.GR) #History and Theory of Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.math/0606767

openalex publication_date 2006/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the nilpotent subgroups of the group Bir(P²(C)) of birational transformations of the complex projective plane. Let N be a nilpotent subgroup of class k>1; then either each element of N has finite order, or N is virtually metabelian.

Related

• Finite subgroups of the plane Cremona group
• Nonlinearity of some subgroups of the planar Cremona group
• Cremona groups of real surfaces
• Finite abelian subgroups of the Cremona group of the plane
• Quelques propriétés des transformations birationnelles du plan projectif complexe