paper

On toric and toroidal foliations

arXiv:2308.05053

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.

36 pages. Final version. To appear in IMRN

On toric and toroidal foliations · wovepaper