The ACSS–F-dlt equivalence conjecture for generalized foliated quadruples

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Let (X,F,B,M)(X,\mathcal{F},B,\mathbf{M}) be a generalized foliated quadruple. Here ACSS denotes the technical condition defined in the source, and F-dlt denotes foliated divisorial log terminal. ACSS–F-dlt equivalence conjecture. Then (X,F,B,M)(X,\mathcal{F},B,\mathbf{M}) is F-dlt if and only if it is ACSS. This would identify ACSS with F-dlt; the source notes that Q\mathbb{Q}-factorial F-dlt foliated triples are known to be ACSS, while the converse is conjectural.

References

Primary source

Guodu Chen, Jingjun Han, Jihao Liu and Lingyao Xie, “Minimal model program for algebraically integrable foliations and generalized pairs”, arXiv:2309.15823 (2026).

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