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arxiv: 1304.6216 · v1 · pith:TOFXODB2new · submitted 2013-04-23 · 🧮 math.GR

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

classification 🧮 math.GR
keywords groupunderaffinetorsorsalgebraicalgebraicallyapplicationcategories
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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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