On automorphism groups of fiber bundles

Abstract

We obtain analogues of classical results on automorphism groups of holomorphic fiber bundles, in the setting of group schemes. Also, we establish a lifting property of the connected automorphism group, for torsors under abelian varieties. These results will be applied to the study of homogeneous bundles over abelian varieties.

Substantial revision of Section 3, following the very helpful comments of a referee

References in corpus (1)

• Homogeneous bundles over abelian varieties

Cited by in corpus (7)

• Homogeneous bundles over abelian varieties
• Amplified endomorphisms of Fano fourfolds
• Automorphism group schemes of bielliptic and quasi-bielliptic surfaces
• The dual Lagrangian fibration of known hyper-Kähler manifolds
• Surface fibrations with large equivariant automorphism group
• Grothendieck topos, gerbes and lifting actions of group objects
• Parabolic subgroups and Automorphism groups of Schubert varieties