Duality between the pseudoeffective and the movable cone on a projective manifold

David Witt Nyström, Sébastien Boucksom

We prove a conjecture of Boucksom-Demailly-Păun-Peternell, namely that on a projective manifold $X$ the cone of pseudoeffective classes in $H_{\mathbb{R}}^{1,1}(X)$ is dual to the…