A remark on the structure of torsors under an affine group scheme

2013/04/23 by C. Deninger, Deninger, C.
Mathematics · #14L15 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:14L15

paper · pdf · doi:10.48550/arxiv.1304.6216

arxiv created 2013/04/23 · arxiv updated 2013/04/24

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 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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