The main theorem of the paper provides a way to produce examples such that the movable cone of an ample divisor does not coincide with the movable cone of its ambient variety.
@article{bwmeta1.element.doi-10_1515_coma-2016-0008, author = {Zhan Li}, title = {Counterexamples of Lefschetz hyperplane type results for movable cones}, journal = {Complex Manifolds}, volume = {3}, year = {2016}, zbl = {1345.32026}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_coma-2016-0008} }
Zhan Li. Counterexamples of Lefschetz hyperplane type results for movable cones. Complex Manifolds, Tome 3 (2016) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_coma-2016-0008/