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arXiv · 2410.05764

Flop between algebraically integrable foliations on potentially klt varieties

Yifei Chen·Jihao Liu·Yanze Wang
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Abstract

We prove that for any two minimal models of an lc algebraically integrable foliated triple on potentially klt varieties, there exist small birational models that are connected by a sequence of flops. In particular, any two minimal models of lc algebraically integrable foliated triples on $\mathbb Q$-factorial klt varieties are connected by a sequence of flops. We also discuss the connection between minimal models for possibly non-algebraically integrable foliations on threefolds, assuming the minimal model program for generalized foliated quadruples.

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Yifei Chen, Jihao Liu, Yanze Wang. 2024-10-08. Flop between algebraically integrable foliations on potentially klt varieties. https://arxiv.org/abs/2410.05764

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