episciences.org_9843_20230401161323423
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Communications in Mathematics
23361298
01
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2023
Volume 30 (2022), Issue 3...
Homogeneous nonsplit superstrings of odd dimension 4
Mikhail
Bashkin
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 nonsplit supermanifolds $CP^{14}_{k_1 k_2 k_3 k_4}$ 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 nonsplit 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)35033527.
01
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2023
9843
https://hal.science/hal03736767v2
10.46298/cm.9843
https://cm.episciences.org/9843

https://cm.episciences.org/9843/pdf

https://cm.episciences.org/9843/pdf