Sarkisov program for algebraically integrable and threefold foliations
Algebraic Geometry
2025-05-22 v1
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 with mild singularities. Log version and adjoint foliated version of the aformentioned Sarkisov programs are also established.
Cite
@article{arxiv.2505.15115,
title = {Sarkisov program for algebraically integrable and threefold foliations},
author = {Yifei Chen and Jihao Liu and Yanze Wang},
journal= {arXiv preprint arXiv:2505.15115},
year = {2025}
}