English

Projectively flat foliations

Algebraic Geometry 2024-01-09 v1

Abstract

We describe the structure of regular codimension 11 foliations with numerically projectively flat tangent bundle on complex projective manifolds of dimension at least 44. Along the way, we prove that either the normal bundle of a regular codimension 11 foliation is pseudo-effective, or its conormal bundle is nef.

Keywords

Cite

@article{arxiv.2401.03311,
  title  = {Projectively flat foliations},
  author = {Stéphane Druel},
  journal= {arXiv preprint arXiv:2401.03311},
  year   = {2024}
}