The effective cone conjecture for Calabi--Yau pairs
The effective cone conjecture for Calabi--Yau pairs
We formulate an {\it effective cone conjecture} for klt Calabi--Yau pairs $(X,\Delta)$, pertaining to the structure of the cone of effective divisors $\mathrm{Eff}(X)$ modulo the action of the subgroup of pseudo-automorphisms $\mathrm{PsAut}(X,\Delta)$. Assuming the existence of good minimal models in dimension $\dim(X)$, known to hold in dimension up to $3$, …