We extend to compact Kaehler and Fujiki manifolds the theorem of F. Bogomolov, on vanishing of the space of holomorphic p-forms with values in a line bundle whose dual L is numerically effective, for the degrees p less than the numerical dimension of L.
@article{urn:eudml:doc:41376, title = {Versions k\"ahl\'eriennes du th\'eor\`eme d'annulation de Bogomolov.}, journal = {Collectanea Mathematica}, volume = {49}, year = {1998}, pages = {433-445}, zbl = {0963.32009}, mrnumber = {MR1677108}, language = {fr}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41376} }
Mourougane, Christophe. Versions kählériennes du théorème d'annulation de Bogomolov.. Collectanea Mathematica, Tome 49 (1998) pp. 433-445. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41376/