Morrison's nef cone conjecture for Calabi–Yau manifolds

Let $Y$ be a Calabi–Yau manifold, meaning that $Y$ has trivial canonical bundle and $h^1(\mathcal{O}_Y)=0$. Let $\mathrm{Nef}^+(Y)$ denote the convex hull of the rational points of the nef cone $\mathrm{Nef}(Y) \subset H^2(Y,\mathbb{R})$. Morrison's nef cone conjecture. The action of $\operatorname{Aut}(Y)$ on $\mathrm{Nef}^+(Y)$ admits a rational polyhedral fundamental domain. This conjecture, originally formulated in 1993, concerns the geometry of nef cones, which can have infinitely many faces for Calabi–Yau manifolds. Its status is not specified in the source; the paper proves deformation-invariance results and new cases.