English

On automorphism groups of fiber bundles

Algebraic Geometry 2011-06-30 v2

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.

Keywords

Cite

@article{arxiv.1012.4606,
  title  = {On automorphism groups of fiber bundles},
  author = {Michel Brion},
  journal= {arXiv preprint arXiv:1012.4606},
  year   = {2011}
}

Comments

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