F invariant divisor IJ9GK68Y

F-invariant divisor

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Proposition 1.12. (1) Let F1 and F2 be two foliations on an arbitrary normal variety X. If Z ⊂ X is a prime divisor that is invariant with respect to F1, then it is invariant with respect to F1 ∩ F2. (2) Let FW be a toric foliation on a toric variety XΣ. Then for any ρ ∈ Σ(1), Dρ is F -invariant if and only if ρ 6⊂ W . (pdf) (Chang 和 Chen, 2023, p. 7)