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arXiv · 2505.15115

Sarkisov program for algebraically integrable and threefold foliations

Yifei Chen·Jihao Liu·Yanze Wang
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Abstract

By applying the theory of the minimal model program for adjoint foliated structures, we establish the Sarkisov program for algebraically integrable foliations on klt varieties: any two Mori fiber spaces of such structure are connected by a sequence of Sarkisov links. Combining with a result of R. Mascharak, we establish the Sarkisov program for foliations in dimension at most $3$ with mild singularities. Log version and adjoint foliated version of the aformentioned Sarkisov programs are also established.

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Yifei Chen, Jihao Liu, Yanze Wang. 2025-05-21. Sarkisov program for algebraically integrable and threefold foliations. https://arxiv.org/abs/2505.15115

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