If the dual Kähler cone of a compact Kähler manifold contains a rational class as an interior point, then its Albanese variety is projective.
Chow rings, decomposition of the diagonal, and the topology of families , volume 187 of Annals of math
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On the dual positive cones and the algebraicity of a compact K\"ahler manifold
If the dual Kähler cone of a compact Kähler manifold contains a rational class as an interior point, then its Albanese variety is projective.