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Existence of flips for generalized log canonical pairs

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Let (X,B+M)(X,B+M) be a generalized log canonical pair, and let f:X→Yf:X\to Y be a (KX+B+M)(K_X+B+M)-flipping contraction.

Existence of flips for g-lc pairs. The flip of every such flipping contraction exists.

Existence of flips is a fundamental expected component of the minimal model program for generalized pairs. The supplied text gives no resolution evidence, so the conjecture remains open here.

References

Primary source

Jingjun Han and Zhan Li, “Weak Zariski decompositions and log terminal models for generalized polarized pairs”, arXiv:1806.01234 (2019).

flipsgeneralized-pairsminimal-model-program
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