On automorphism groups of fiber bundles

Published 21 Dec 2010 in math.AG | (1012.4606v2)

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.

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Michel Brion

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