On the geometry of the singular locus of a codimension one foliation in ${\mathbb{P}}^n$

Omegar Calvo-Andrade, Ariel Molinuevo, Federico Quallbrunn

We will work with codimension one holomorphic foliations over the complex projective space, represented by integrable forms $ω\in H^0(Ω^1_{\PP^n}(e))$. Our main result is that, und…