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arXiv · 1711.02906

On foliations by curves with singularities of positive dimension

Arturo Fernández-Pérez·Gilcione Nonato Costa
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Abstract

We present enumerative results for holomorphic foliations by curves on $\mathbb{P}^n$, $n\geq 3$, with singularities of positive dimension. Some of the results presented improve previous ones due to Corrêa--Fernández-Pérez--Nonato Costa--Vidal Martins and Nonato Costa. We also present an enumerative result bounding the number of isolated singularities in a projective subvariety invariant by a holomorphic foliation by curves on $\mathbb{P}^n$ with a singularity of positive dimension.

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Arturo Fernández-Pérez, Gilcione Nonato Costa. 2017-11-08. On foliations by curves with singularities of positive dimension. https://arxiv.org/abs/1711.02906

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