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- W4320086486 abstract "Any complex-analytic vector bundle $mathbb E$ admits naturally defined homotheties $phi_{alpha}$, $alphain mathbb C^*$, i.e. $phi_{alpha}$ is the multiplication of a local section by a complex number $alpha$. We investigate the question when such automorphisms can be lifted to a non-split supermanifold corresponding to $mathbb E$. Further, we compute the automorphism supergroup of a $Pi$-symmetric super-Grassmannian $Pi!operatorname{Gr}_{n,k}$, and, using Galois cohomology, we classify the real structures on $Pi!operatorname{Gr}_{n,k}$ and compute the corresponding supermanifolds of real points." @default.
- W4320086486 created "2023-02-12" @default.
- W4320086486 creator A5082277026 @default.
- W4320086486 date "2022-05-09" @default.
- W4320086486 modified "2023-10-16" @default.
- W4320086486 title "Automorphisms and real structures for a $Pi$-symmetric super-Grassmannian" @default.
- W4320086486 doi "https://doi.org/10.48550/arxiv.2205.04380" @default.
- W4320086486 hasPublicationYear "2022" @default.
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