Projectivity conjecture for compact Kähler manifolds with a rational pseudoeffective dual class
Let XXX be a compact Kähler manifold of dimension nnn. Let Psef(X)\mathrm{Psef}(X)Psef(X) be the pseudoeffective cone in H1,1(X,R)H^{1,1}(X,\mathbf{R})H1,1(X,R), and let Int(Psef(X)∨)\mathrm{Int}(\mathrm{Psef}(X)^\vee)Int(Psef(X)∨)…