The Shokurov-polytope version of the relative cone conjecture
Let f:(X,Δ)→Sf:(X,\Delta)\to Sf:(X,Δ)→S be a klt Calabi–Yau fiber space. Let Eff(X/S)\operatorname{Eff}(X/S)Eff(X/S), Mov(X/S)\operatorname{Mov}(X/S)Mov(X/S), and Amp(X/S)\operatorname{Amp}(X/S)Amp(X/S) denote the effective, movable, and…