... Annals of Mathematics, 159 (2004), 1247–1274 Numerical characterization of the K¨hler cone of a compact K¨hler manifold a a By Jean-Pierre Demailly and Mihai Paun Abstract The goal of this ... there exists a very neat characterization of nef classes on arbitrary surfaces, K¨hler or not a The Main Theorem has an important application to the deformation theory of compact K¨hler manifolds, ... can also view this fact as a characterization of the dual cone of the nef cone, in the space of real cohomology classes of type (n − 1, n − 1) This leads immediately to Corollary 0.4 In the case...