Abstract
It is well known that all torsors under an affine algebraic group over an algebraically closed field are trivial. We note that under suitable conditions this also holds if the group is not necessarily of finite type. This has an application to isomorphisms of fibre functors on neutral Tannakian categories.
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Communicated by Birgit Richter.
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Deninger, C. A remark on the structure of torsors under an affine group scheme. Abh. Math. Semin. Univ. Hambg. 88, 189–192 (2018). https://doi.org/10.1007/s12188-017-0179-0
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DOI: https://doi.org/10.1007/s12188-017-0179-0