Automorphism groups of compact complex surfaces

2017/08/11 by Prokhorov, Yuri, Shramov, Constantin
#14E07 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1708.03566

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.

Related

• Jordan property for automorphism groups of compact varieties
• Automorphisms of pointless surfaces
• A surface birational to an Enriques surface with non-finitely generated automorphism group
• Automorphisms of cubic surfaces without points
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