Pullback conjecture for basepoint-free classes and movable transforms
Let XXX be a smooth variety and let α∈BPFk(X)\alpha\in\operatorname{BPF}_k(X)α∈BPFk(X), where BPFk(X)\operatorname{BPF}_k(X)BPFk(X) denotes the cone of basepoint-free kkk-cycle classes. Let π:Y→X\pi:Y\to Xπ:Y→X be a…