Automorphism groups of compact complex surfaces

Abstract

We study automorphism groups and birational automorphism groups of compact complex surfaces. We show that the automorphism group of such surface $X$ is always Jordan, and the birational automorphism group is Jordan unless $X$ is birational to a product of an elliptic and a rational curve.

22 pages

References in corpus (3)

• Jordan property for non-linear algebraic groups and projective varieties
• Bounds for the orders of the finite subgroups of G(k)
• Automorphisms of parabolic Inoue surfaces

Cited by in corpus (4)

• Finite group actions on homology spheres and manifolds with nonzero Euler characteristic
• Automorphisms of pointless surfaces
• Surface fibrations with large equivariant automorphism group
• Automorphism groups of Moishezon threefolds