English

On toric and toroidal foliations

Algebraic Geometry 2026-01-08 v4

Abstract

In this paper, we provide toric descriptions for various foliation singularities on toric varieties, especially for non-dicritical singularities and F-dlt singularities. We then show that the toric foliated minimal model program works by demonstrating that non-dicritical singularities and F-dlt singularities are preserved.

Cite

@article{arxiv.2308.05053,
  title  = {On toric and toroidal foliations},
  author = {Chih-Wei Chang and Yen-An Chen},
  journal= {arXiv preprint arXiv:2308.05053},
  year   = {2026}
}

Comments

36 pages. Final version. To appear in IMRN

R2 v1 2026-06-28T11:52:02.906Z