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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{MAIS_2007_14_2_a0,
     author = {M. A. Bashkin and L. I. Habadze},
     title = {Homogeneous supermanifolds with retract $\mathbb{CP}^{1|4}_{k_1k_211}$},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {4--6},
     year = {2007},
     volume = {14},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a0/}
}
TY  - JOUR
AU  - M. A. Bashkin
AU  - L. I. Habadze
TI  - Homogeneous supermanifolds with retract $\mathbb{CP}^{1|4}_{k_1k_211}$
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2007
SP  - 4
EP  - 6
VL  - 14
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a0/
LA  - ru
ID  - MAIS_2007_14_2_a0
ER  - 
%0 Journal Article
%A M. A. Bashkin
%A L. I. Habadze
%T Homogeneous supermanifolds with retract $\mathbb{CP}^{1|4}_{k_1k_211}$
%J Modelirovanie i analiz informacionnyh sistem
%D 2007
%P 4-6
%V 14
%N 2
%U http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a0/
%G ru
%F MAIS_2007_14_2_a0
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/

[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