Geodesic
Homogeneous supermanifolds associated with complex projective space.~I
Sbornik. Mathematics, Tome 189 (1998) no. 2, pp. 265-289

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Homogeneous and evenly homogeneous complex supermanifolds of dimension $n|m$ with reduction equal to the complex projective space $\mathbb {CP}^n$ are studied. Under the assumption that $m\leqslant n$, all split supermanifolds of this type are classified and their 1-cohomology with values in the tangent sheaf (which is invariant under the projective group) is calculated. 
@article{SM_1998_189_2_a3,
     author = {A. L. Onishchik and O. V. Platonova},
     title = {Homogeneous supermanifolds associated  with complex projective {space.~I}},
     journal = {Sbornik. Mathematics},
     pages = {265--289},
     publisher = {mathdoc},
     volume = {189},
     number = {2},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1998_189_2_a3/}
}
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A. L. Onishchik; O. V. Platonova. Homogeneous supermanifolds associated  with complex projective space.~I. Sbornik. Mathematics, Tome 189 (1998) no. 2, pp. 265-289. http://geodesic.mathdoc.fr/item/SM_1998_189_2_a3/