10.46298/cm.9843
https://cm.episciences.org/9843
Bashkin, Mikhail
Mikhail
Bashkin
Homogeneous non-split superstrings of odd dimension 4
Let $\mathbf L_k$ be the holomorphic line bundle of degree $k \in \mathbb Z$ on the projective line. Here, the tuples $(k_1 k_2 k_3 k_4)$ for which there does not exists homogeneous non-split supermanifolds $CP^{1|4}_{k_1 k_2 k_3 k_4}$ associated with the vector bundle $\mathbf L_{−k_1} \oplus \mathbf L _{−k_2} \oplus \mathbf L_{−k_3} \oplus \mathbf L_{−k_4}$ are classified. \\For many types of the remaining tuples, there are listed cocycles that determine homogeneous non-split supermanifolds. \\Proofs follow the lines indicated in the paper Bunegina V.A., Onishchik A.L., Homogeneous supermanifolds associated with the complex projective line.neous supermanifolds associated with the complex projective line. J. Math. Sci. V. 82 (1996)3503--3527.
episciences.org
Non-split homogeneous supermanifold
retract
holomorphic vector bundle
[MATH]Mathematics [math]
2022-11-16
2023-01-16
2023-01-16
en
journal article
https://hal.science/hal-03736767v2
2336-1298
https://cm.episciences.org/9843/pdf
VoR
application/pdf
Communications in Mathematics
Volume 30 (2022), Issue 3 (Special issue: in memory of Arkady Onishchik)
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