Torsors under affine groups are generalized in the super context by super-torsors under affine super-groups. We investigate those super-torsors by using Hopf-algebra language and techniques. Super-torsors are shown to arise explicitly from ordinary torsors. Especially, the objects with affinity restriction, or namely, the affine super-torsors and the affine ordinary torsors are shown under suitable assumptions to be precisely in one-to-one correspondence. The results play substantial roles in ongoing construction of super-symmetric Picard-Vessiot theory.Comment: 32 pages; rewrote the abstract and added some explanations and reference
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Let G be a reductive group (over an algebraically closed field) equipped with the metaplectic data. ...
In his proof of the fundamental lemma, Ng\^o established the product formula for the Hitchin fibrati...
Let $G$ be a linear algebraic group over an infinite field $k$. Loosely speaking, a $G$-torsor over ...
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Several of the fundamental problems of algebra can be unified into the problem of classifying G-tors...
A geometrisation scheme internal to the category of Lie supergroups is discussed for the supersymmet...
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We define the affine VW supercategory $\mathit{s}\hspace{-0.7mm}\bigvee\mkern-15mu\bigvee$, which ar...
The famous theorem of Matsumura-Oort states that if $X$ is a proper scheme, then the automorphism gr...
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