Geodesic
On the homotopy structure of compact complex homogeneous manifolds
Izvestiya. Mathematics , Tome 80 (2016) no. 2, pp. 329-341

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We consider compact complex homogeneous manifolds up to finite coverings. We give sufficient conditions under which the natural bundle for such a manifold is homotopically trivial. This triviality always holds in the case when the stationary subgroup is discrete.
Keywords: homogeneous space, lattice
Mots-clés : complex Lie group, homotopy type. 
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     author = {V. V. Gorbatsevich},
     title = {On the homotopy structure of compact complex homogeneous manifolds},
     journal = {Izvestiya. Mathematics },
     pages = {329--341},
     publisher = {mathdoc},
     volume = {80},
     number = {2},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2016_80_2_a3/}
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V. V. Gorbatsevich. On the homotopy structure of compact complex homogeneous manifolds. Izvestiya. Mathematics , Tome 80 (2016) no. 2, pp. 329-341. http://geodesic.mathdoc.fr/item/IM2_2016_80_2_a3/