English

Toric foliations with split tangent sheaf

Algebraic Geometry 2022-01-25 v5 Dynamical Systems

Abstract

We study holomorphic foliations of aribitrary codimension in smooth complete toric varieties. We show that split foliations are stable if some good behaviour of their singular set is provided. As an application of these results, we exhibit irreducible components of the space of foliations that arise as pullbacks of some special T-invariant divisors.

Keywords

Cite

@article{arxiv.1911.10929,
  title  = {Toric foliations with split tangent sheaf},
  author = {Sebastián Velazquez},
  journal= {arXiv preprint arXiv:1911.10929},
  year   = {2022}
}
R2 v1 2026-06-23T12:26:23.689Z