2 problems

Cone duality conjecture. The dual cone of the pseudoeffective cone $\mathcal{E}$ equals the movable cone $\mathcal{M}$:

Let $X$ be a compact K4hler manifold of complex dimension $n$. The cone $\mathcal{E}$ of pseudoeffective classes consists of classes in $H^{1,1}_{\mathbb{R}}(X)$ containing a close…