On automorphism groups of fiber bundles

Michel Brion (1)

1 IF - Institut Fourier

We obtain analogues of classical results on automorphism groups of 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.

Mots clés: Automorphism groups; Actions of group schemes; Torsors and associated fiber bundles; Automorphism groups.

Domaines: Géométrie algébrique [math.AG]

Michel Brion. On automorphism groups of fiber bundles. 2010. ⟨hal-00549094⟩