Complex tori, theta groups and their Jordan properties

2019/02/17 by Zarhin, Yuri G.
#14E07 14K05 #32J18 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1902.06184

Abstract

We prove that an analogue of Jordan's theorem on finite subgroups of general linear groups does not hold for the group of bimeromorphic automorphisms of a product of the complex projective line and a complex torus of positive algebraic dimension.

Related

• Theta groups and products of abelian and rational varieties
• Jordan property for automorphism groups of compact varieties
• Jordan property for groups of bimeromorphic self-maps of complex manifolds with large Kodaira dimension
• Jordan groups and algebraic surfaces
• Automorphism groups of compact complex surfaces