Finite groups acting on elliptic surfaces

2019/07/03 by Shramov, Constantin
#14J50 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1907.01816

Abstract

We show that automorphism groups of Hopf and Kodaira surfaces have unbounded finite subgroups. For elliptic fibrations on Hopf, Kodaira, bielliptic, and K3 surfaces, we make some observations on finite groups acting along the fibers and on the base of such a fibration.

Related

• Elliptic K3 surfaces with abelian and dihedral groups of symplectic automorphisms
• Elliptic fibrations and symplectic automorphisms on K3 surfaces
• Kodaira fibrations, Kähler groups, and finiteness properties
• Bounds for the order of automorphism groups of cyclic covering fibrations of an elliptic surface
• The automorphism group of Kodaira surfaces