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arXiv · 2105.10226

Dynamical aspects of foliations with ample normal bundle

Masanori Adachi·Judith Brinkschulte
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Abstract

We prove the following result that was conjectured by Brunella: Let $X$ be a compact complex manifold of dimension $\geq 3$. Let $\mathcal{F}$ be a codimension one holomorphic foliation on $X$ with ample normal bundle. Then every leaf of $\mathcal{F}$ accumulates to the singular set of $\mathcal{F}$.

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Masanori Adachi, Judith Brinkschulte. 2021-05-21. Dynamical aspects of foliations with ample normal bundle. https://doi.org/10.1512/iumj.2023.72.9488

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