toric foliated mmp LYB2NYA9

toric foliated mmp

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Theorem 0.4. Let F be a toric foliation with canonical singularities on a Q-factorial toric variety X. Then the MMP for F exists and ends with a foliation such that KF is nef or a fibration π : X → Z such that F is pulled back from a foliation on Z. Furthermore, F has non-dicritical singularities and the resulting foliation will also have non-dicritical singularities. (pdf) (Wang, 2023, p. 72)