pull back of foliation T3L3QMJ2

pull back of foliation

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Proposition 3.1. Let F be a toric foliation on a Q-factorial toric variety X, which is determined by a subspace V of NC. If ρ ⊂ V for some ρ ∈ Σ(1), then F is pulled back along some dominant rational map f : X Y with dim(Y ) < dim(X). In particular, if KF is not trivial, then F is a pull-back. (pdf) (Wang, 2023, p. 81)