Recent progress on the Minimal Model Program for foliations
Algebraic Geometry
2026-04-13 v1
Abstract
We survey recent progress on the birational geometry of foliations on complex varieties. We focus on the MMP viewpoint: singularities, adjunction and applications to the MMP for foliations on surfaces and to the existence of flips on threefolds.
Cite
@article{arxiv.2604.09027,
title = {Recent progress on the Minimal Model Program for foliations},
author = {Paolo Cascini and Calum Spicer},
journal= {arXiv preprint arXiv:2604.09027},
year = {2026}
}
Comments
33 pages. To appear in a volume arising from the Summer Research Institute in Algebraic Geometry held at Colorado State University in 2025