Masuoka, Akira; Oe, Takuya; Takahashi, Yuta Torsors in super-symmetry. arXiv:2101.03461 Preprint, arXiv:2101.03461 [math.AG] (2021). Summary: 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. It is explicitly shown, under suitable assumptions, that every super-torsor arises from an ordinary torsor. Especially, the objects with affinity restriction, or namely, the affine super-torsors and the affine ordinary torsors are shown to be precisely in one-to-one correspondence. The results play substantial roles in ongoing construction of super-symmetric Picard-Vessiot theory. MSC: 14L15 Group schemes 14M30 Supervarieties 16T05 Hopf algebras and their applications BibTeX Cite \textit{A. Masuoka} et al., ``Torsors in super-symmetry'', Preprint, arXiv:2101.03461 [math.AG] (2021) Full Text: arXiv OA License arXiv data are taken from the arXiv OAI-PMH API. If you found a mistake, please report it directly to arXiv.