On automorphism groups of fiber bundles

Details On automorphism groups of fiber bundles On automorphism groups of fiber bundles

2010-12-21

arxiv.org/abs/1012.4606v2

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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