English

A remark on toric foliations

Algebraic Geometry 2024-03-06 v2

Abstract

If a toric foliation on a projective Q-factorial toric variety has an extremal ray whose length is longer than the rank of the foliation, then the associated extremal contraction is a projective space bundle and the foliation is the relative tangent sheaf of the extremal contraction.

Keywords

Cite

@article{arxiv.2309.09461,
  title  = {A remark on toric foliations},
  author = {Osamu Fujino and Hiroshi Sato},
  journal= {arXiv preprint arXiv:2309.09461},
  year   = {2024}
}

Comments

6 pages, v2: revisions following referee's comments and suggestions, to appear in Arch. Math

R2 v1 2026-06-28T12:24:17.731Z