Infinite algebraic subgroups of the real Cremona group

2016/12/01 by Robayo, Maria Fernanda, Zimmermann, Susanna
#14E07 #14L99 #14P99 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1612.00191

Abstract

We give the classification of the maximal infinite algebraic subgroups of the real Cremona group of the plane up to conjugacy and present a parametrisation space of each conjugacy class. Moreover, we show that the real plane Cremona group is not generated by a countable union of its infinite algebraic subgroups.

Related

• The conjugacy classes of finite nonsolvable subgroups in the plane Cremona group
• Finite subgroups of the plane Cremona group
• Finitely generated subgroups of algebraic elements of plane Cremona groups are bounded
• Finite abelian subgroups of the Cremona group of the plane
• Maximal subgroups in the Cremona group