Geodesic
Homogeneous supermanifolds with retract $\mathbb{CP}^{1|4}_{k_1k_211}$
Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 2, pp. 4-6 
M. A. Bashkin; L. I. Habadze. Homogeneous supermanifolds with retract $\mathbb{CP}^{1|4}_{k_1k_211}$. Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 2, pp. 4-6. http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We give the results of classification of all nonsplit homogeneous supermanifolds over the complex projective line whose retract is corresponding to a holomorphic vector bundle with a set $(k_1,k_2,1,1)$, where $k_1\ge k_2\ge 1$. See [3] and [4] for more information about the complex supermanifolds theory.

[1] M. A. Bashkin, A. L. Onischik, “Odnorodnye nerasschepimye supermnogoobraziya razmernosti $1|4$ nad kompleksnoi proektivnoi pryamoi”, Matematika v Yaroslavskom universitete, Sb. obzornykh statei. K 30-letiyu matematicheskogo fakulteta, Yarosl. gos. un-t, Yaroslavl, 2006, 17–32

[2] V. A. Bunegina, A. L. Onischik, “Odnorodnye supermnogoobraziya, svyazannye s kompleksnoi proektivnoi pryamoi”, Algebraicheskaya geometriya – 1, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 19, VINITI, M., 2001, 141–180

[3] A.L. Onischik, “Problemy klassifikatsii kompleksnykh supermnogoobrazii”, Matematika v Yaroslavskom universitete, Sb. obzornykh statei. K 25-letiyu matematicheskogo fakulteta, Yarosl. gos. un-t, Yaroslavl, 2001, 7–34 | MR

[4] A.L. Onishchik, “A Construction of Non-Split Supermanifolds”, Annals of Global Analysis and Geometry, 16 (1998), 309–333 | DOI | MR | Zbl