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- W166116927 abstract "We obtain a classification up to isomorphism of complex-analytic supermanifolds with underlying space $mathbb{CP}^1$ of dimension $1|3$ with retract $(k,k,k)$, where $kin mathbb{Z}$. More precisely, we prove that classes of isomorphic complex-analytic supermanifolds of dimension $1|3$ with retract $(k,k,k)$ are in one-to-one correspondence with points of the following set: $mathbf{Gr}_{4k-4,3} cup mathbf{Gr}_{4k-4,2} cup mathbf{Gr}_{4k-4,1} cup mathbf{Gr}_{4k-4,0}$ for $k geq 2$. For $k < 2$ all such supermanifolds are isomorphic to their retract $(k,k,k)$." @default.
- W166116927 created "2016-06-24" @default.
- W166116927 creator A5012205319 @default.
- W166116927 date "2013-11-28" @default.
- W166116927 modified "2023-09-27" @default.
- W166116927 title "On complex-analytic $1|3$-dimensional supermanifolds associated with $mathbb{CP}^1$" @default.
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