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

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...

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Bibliographic Details
Published in:arXiv.org 2013-04
Main Author: Deninger, C
Format: Article
Language:English
Subjects:
Affine transformations
Isomorphism
Online Access:Get full text
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Summary: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.
ISSN:2331-8422