An inequality for characteristic numbers of flags of foliations

Details An inequality for characteristic numbers of flags of foliations An inequality for characteristic numbers of flags of foliations

2011-10-10

arxiv.org/abs/1110.1897v1

Mathematics

Algebraic Geometry

11 pages

Scientific paper

We prove an inequality involving the degrees of two holomorphic foliations
$\mathcal{F}$ and $\mathcal{F}$ which form a flag on $\mathbb{P}^n$, with $\dim
\mathcal{F} = \mathrm{codim} \,\mathcal{G} =1$. We also present some
consequences of it and give an application to the question of the integrability
of osculating distributions in dimension 3.

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