Unlikely intersections of codimension one foliations

TL;DR

This paper investigates special families of singular holomorphic foliations on complex projective manifolds where the total intersection results in a foliation with unusually low codimension, revealing new geometric phenomena.

Contribution

It introduces a novel study of intersections of codimension one foliations leading to unexpected low codimension foliations on complex projective manifolds.

Findings

Identification of conditions for low codimension intersections

Examples of such foliations on complex projective manifolds

Insights into the geometric structure of these foliations

Abstract

We study families of singular holomorphic foliations on complex projective manifolds whose total intersection defines a foliation of unexpectedly low codimension.