Surface fibrations with large equivariant automorphism group

Abstract

For a relatively minimal surface fibration $f:X\to C$, the equivariant automorphism group of $f$ is, roughly speaking, the group of automorphisms of $X$ preserving the fibration structure. We present a classification of such fibrations of fibre genus $g\ge 1$ with smooth generic fibre over an arbitrary algebraically closed field $\mathbf{k}$ whose equivariant automorphism group is infinite.

Some errors in the first version is corrected

References in corpus (3)

• On automorphism groups of fiber bundles
• Automorphism groups of compact complex surfaces
• Criteria for the existence of equivariant fibrations on algebraic surfaces and hyperkähler manifolds and equality of automorphisms up to powers - a dynamical viewpoint